Knowledge

Quantum information science

Source đź“ť

2451: 3243: 2441: 1541:– Quantum Information Group, University of Leeds. The quantum information group at the University of Leeds is engaged in researching a wide spectrum of aspects of quantum information. This ranges from algorithms, quantum computation, to physical implementations of information processing and fundamental issues in quantum mechanics. Also contains some basic tutorials for the lay audience. 1200:
for quantum computers are needed, as well as a larger community of competent quantum programmers. To this end, additional learning resources are needed, since there are many fundamental differences in quantum programming which limits the number of skills that can be carried over from traditional
1151:
have invested significantly in quantum computer hardware research, leading to significant progress in manufacturing quantum computers since the 2010s. Currently, it is possible to create a quantum computer with over 100
117: 1116:
to study the processing, analysis, and transmission of information. It covers both theoretical and experimental aspects of quantum physics, including the limits of what can be achieved with
1124:
is sometimes used, but it does not include experimental research and can be confused with a subfield of quantum information science that deals with the processing of quantum information.
1369:
Shiba, K., Sakamoto, K., Yamaguchi, K., Malla, D.B. & Sogabe, T. 2019, Convolution filter embedded quantum gate autoencoder, Cornell University Library, arXiv.org, Ithaca.
1182:
ensure the secure exchange of the random keys. The development of devices that can transmit quantum entangled particles is a significant scientific and engineering goal.
2487: 1174:, uses a sequence of random keys for encryption. These keys can be securely exchanged using quantum entangled particle pairs, as the principles of the 47: 3040: 1640: 1344: 3509: 1559:
Center for Quantum Information and Control, including theoretical and experimental groups from University of New Mexico, University of Arizona.
17: 3279: 2688: 1602: 1092: 383: 3598: 2332: 1055: 884: 2233: 1894: 3211: 2537: 1795: 1319: 135: 3223: 2120: 591: 3477: 2907: 2480: 364: 2841: 1461: 547: 3619: 2764: 2444: 1630: 470: 2402: 1339: 1978: 3272: 2510: 2473: 2454: 2342: 1595: 1496: 1085: 130: 2620: 2270: 1928: 1298: 219: 3178: 2887: 2882: 2605: 2265: 1993: 1973: 1221: 1045: 877: 326: 306: 174: 3425: 3190: 2862: 2260: 967: 957: 907: 566: 296: 1772: 3168: 2945: 2867: 2650: 2520: 2293: 2115: 2018: 1679: 1334: 1262: 606: 344: 244: 3265: 2902: 2836: 2831: 2802: 2515: 2298: 2166: 1757: 1588: 1078: 542: 537: 508: 359: 140: 2970: 2877: 2322: 2078: 1938: 1712: 1667: 1241: 1233: 321: 311: 1538: 3393: 3366: 3246: 3008: 2816: 2787: 2194: 2066: 1963: 1839: 1767: 1674: 1488: 1287: 1156:, but the error rate is high due to the lack of suitable materials for quantum computer manufacturing. 870: 522: 493: 3030: 2897: 2821: 2782: 2739: 2713: 2670: 2563: 2003: 1968: 1864: 1807: 1532: 1249: 1213: 962: 527: 488: 441: 416: 339: 199: 3499: 3097: 3077: 3067: 3057: 3013: 2588: 2176: 2149: 2125: 2088: 1879: 1812: 1747: 1732: 1702: 1625: 1324: 1282: 922: 611: 2792: 2718: 2327: 2061: 1953: 1923: 1722: 1526: 1431: 780: 498: 406: 3206: 2754: 1553:
Center for Quantum Information Science & Technology at the University of Southern California
1438:. Lecture Notes in Computer Science. Cham: Springer International Publishing. pp. 425–444. 456: 354: 120: 3583: 3445: 3117: 2892: 2872: 2797: 2665: 2397: 2161: 2154: 1901: 1179: 1030: 1005: 952: 932: 785: 503: 331: 301: 264: 2708: 411: 3588: 3557: 3420: 3341: 3142: 2655: 2635: 2317: 1943: 1869: 1834: 1314: 1197: 1132: 1040: 1010: 937: 254: 239: 1430:
Häner, Thomas; Jaques, Samuel; Naehrig, Michael; Roetteler, Martin; Soeken, Mathias (2020).
3547: 3371: 3331: 3173: 3102: 3047: 2777: 2600: 2558: 2107: 1856: 1707: 1402: 1379:
Chiu, Ching-Kai; Teo, Jeffrey C. Y.; Schnyder, Andreas P.; Ryu, Shinsei (August 31, 2016).
1309: 1303: 1292: 1163: 1136: 1035: 927: 571: 483: 209: 166: 815: 8: 3522: 3381: 3376: 3361: 3336: 3313: 3289: 3158: 3127: 3072: 3052: 2960: 2917: 2772: 2698: 2625: 2615: 2527: 2426: 2379: 2209: 1983: 1737: 1717: 1652: 1647: 1229: 1117: 947: 942: 900: 670: 478: 396: 224: 204: 156: 1406: 3578: 3455: 3450: 3403: 3218: 3087: 2985: 2693: 2640: 2532: 2142: 1988: 1790: 1727: 1439: 1392: 1267: 1237: 1175: 1113: 917: 391: 316: 249: 161: 3593: 3542: 3487: 3467: 3353: 3228: 3137: 3107: 3035: 2998: 2993: 2975: 2940: 2930: 2645: 2610: 2593: 2496: 2406: 2051: 1958: 1915: 1846: 1762: 1742: 1697: 1657: 1635: 1502: 1492: 1457: 1349: 1277: 1272: 1245: 1209: 1109: 825: 800: 740: 735: 635: 601: 581: 179: 38: 3532: 3472: 3398: 2955: 2950: 2807: 2703: 2073: 2023: 1800: 1449: 1410: 1329: 1157: 1140: 1015: 830: 820: 810: 710: 690: 675: 645: 513: 401: 3552: 3462: 3408: 3308: 3185: 3112: 3092: 3062: 3025: 3020: 2925: 2749: 2199: 2137: 1827: 1822: 1476: 1453: 1415: 1380: 855: 725: 705: 451: 291: 3482: 3437: 3415: 3303: 3163: 3132: 3122: 2744: 2734: 2568: 2308: 2285: 2252: 2056: 1933: 995: 790: 750: 730: 700: 680: 630: 596: 446: 436: 229: 1580: 3613: 3492: 3082: 2935: 2826: 2660: 2630: 2583: 2130: 1948: 1874: 1506: 1020: 990: 850: 845: 775: 745: 715: 586: 532: 259: 234: 112:{\displaystyle i\hbar {\frac {d}{dt}}|\Psi \rangle ={\hat {H}}|\Psi \rangle } 3257: 1574: 1143:
depend on a comprehensive understanding of quantum physics and engineering.
3517: 2965: 2578: 2573: 2350: 2275: 1480: 1167: 840: 835: 770: 755: 720: 214: 3003: 2360: 2214: 1752: 1025: 805: 760: 695: 650: 3537: 3527: 2421: 2355: 2219: 1565:
Centre for Quantum Technologies at the National University of Singapore
1225: 1000: 795: 765: 685: 660: 655: 640: 1244:, posing a major security threat. This led to increased investment in 3388: 2857: 2553: 2204: 1217: 286: 2465: 1577:
Quantum Science and Technologies Group at Louisiana State University
1529:
European roadmap on Quantum Information Processing and Communication
2389: 2365: 2224: 2189: 1444: 1397: 1171: 972: 665: 1432:"Improved Quantum Circuits for Elliptic Curve Discrete Logarithms" 2416: 2033: 1193: 1060: 1252:
to prepare for the fault-tolerant quantum computing (FTQC) era.
2393: 1889: 1185: 1144: 1050: 1381:"Classification of topological quantum matter with symmetries" 1662: 1562: 1153: 1544: 1520: 2411: 1884: 1817: 1571:
Centre for Quantum Computation and Communication Technology
1429: 1189: 2028: 2013: 1568: 1550: 1148: 1556: 1547:
Research Group on Mathematics and Quantum Information.
1196:
are popular quantum programming languages. Additional
1306:, as seen from an information-theoretic point of view 1127: 50: 1855: 1236:, could potentially break widely used ciphers like 1378: 1166:devices are now available for commercial use. The 111: 27:Interdisciplinary theory behind quantum computing 3611: 1434:. In Ding, Jintai; Tillich, Jean-Pierre (eds.). 1204: 1610: 1535:– Quantum Information, Imperial College London. 1345:Timeline of quantum computing and communication 1232:that, with a quantum computer containing 4,000 1523:– quantum information science portal and wiki. 3287: 3273: 2481: 1596: 1475: 1295:and its generalization, quantum communication 1086: 878: 106: 80: 1485:Quantum Computation and Quantum Information 1108:is a field that combines the principles of 3280: 3266: 2488: 2474: 1603: 1589: 1093: 1079: 885: 871: 1443: 1414: 1396: 1487:(10th anniversary ed.). Cambridge: 1320:Entanglement-assisted classical capacity 2121:Continuous-variable quantum information 14: 3612: 3478:Atomic, molecular, and optical physics 3261: 2495: 2469: 1584: 1170:, a cipher used by spies during the 1228:introduced a quantum algorithm for 1160:may be a crucial missing material. 24: 1128:Scientific and engineering studies 417:Sum-over-histories (path integral) 103: 77: 33:Part of a series of articles about 25: 3631: 1514: 54: 3242: 3241: 2450: 2449: 2440: 2439: 1340:Quantum decision tree complexity 1299:Quantum communication complexity 1248:research and the development of 3599:Timeline of physics discoveries 1222:computational complexity theory 1046:Library and information science 3191:Relativistic quantum mechanics 1423: 1372: 1363: 968:Science and technology studies 567:Relativistic quantum mechanics 99: 92: 73: 18:Quantum information processing 13: 1: 3169:Quantum statistical mechanics 2946:Quantum differential calculus 2868:Delayed-choice quantum eraser 2651:Symmetry in quantum mechanics 2116:Adiabatic quantum computation 1356: 1335:Quantum communication channel 1263:Glossary of quantum computing 1205:Related mathematical subjects 607:Quantum statistical mechanics 2167:Topological quantum computer 1454:10.1007/978-3-030-44223-1_23 1416:10.1103/RevModPhys.88.035005 982:Related fields and subfields 7: 3620:Quantum information science 3563:Quantum information science 2971:Quantum stochastic calculus 2961:Quantum measurement problem 2883:Mach–Zehnder interferometer 2445:Quantum information science 1612:Quantum information science 1255: 1216:are two of the subjects in 1106:Quantum information science 1066:Quantum information science 577:Quantum information science 10: 3636: 3394:Classical electromagnetism 1840:quantum gate teleportation 1489:Cambridge University Press 1288:Quantum information theory 1122:quantum information theory 3571: 3508: 3436: 3352: 3324: 3296: 3237: 3199: 3151: 3031:Quantum complexity theory 3009:Quantum cellular automata 2984: 2916: 2850: 2763: 2727: 2714:Path integral formulation 2681: 2546: 2503: 2435: 2378: 2341: 2307: 2284: 2251: 2242: 2175: 2104: 2042: 2002: 1969:Quantum Fourier transform 1914: 1865:Post-quantum cryptography 1808:Entanglement distillation 1781: 1690: 1618: 1436:Post-Quantum Cryptography 1385:Reviews of Modern Physics 1250:post-quantum cryptography 1224:. In 1994, mathematician 1214:quantum complexity theory 1139:and the manufacturing of 3500:Condensed matter physics 3098:Quantum machine learning 3078:Quantum key distribution 3068:Quantum image processing 3058:Quantum error correction 2908:Wheeler's delayed choice 2455:Quantum mechanics topics 2150:Quantum machine learning 2126:One-way quantum computer 1979:Quantum phase estimation 1880:Quantum key distribution 1813:Monogamy of entanglement 1325:No-communication theorem 1283:Quantum error correction 612:Quantum machine learning 365:Wheeler's delayed-choice 3014:Quantum finite automata 2062:Randomized benchmarking 1924:Amplitude amplification 322:Leggett–Garg inequality 3584:Nobel Prize in Physics 3446:Relativistic mechanics 3118:Quantum neural network 2162:Quantum Turing machine 2155:quantum neural network 1902:Quantum secret sharing 1180:wave function collapse 1031:Information technology 953:Knowledge organization 113: 3589:Philosophy of physics 3143:Quantum teleportation 2671:Wave–particle duality 2234:Entanglement-assisted 2195:quantum convolutional 1870:Quantum coin flipping 1835:Quantum teleportation 1796:entanglement-assisted 1626:DiVincenzo's criteria 1315:Quantum teleportation 1198:programming languages 1133:Quantum teleportation 1041:Intellectual property 1011:Computer data storage 307:Elitzur–Vaidman 297:Davisson–Germer 114: 3548:Mathematical physics 3174:Quantum field theory 3103:Quantum metamaterial 3048:Quantum cryptography 2778:Consistent histories 2045:processor benchmarks 1974:Quantum optimization 1857:Quantum cryptography 1668:physical vs. logical 1310:Quantum dense coding 1304:Quantum entanglement 1293:Quantum cryptography 1164:Quantum cryptography 1036:Intellectual freedom 572:Quantum field theory 484:Consistent histories 121:Schrödinger equation 48: 3523:Atmospheric physics 3362:Classical mechanics 3290:branches of physics 3159:Quantum fluctuation 3128:Quantum programming 3088:Quantum logic gates 3073:Quantum information 3053:Quantum electronics 2528:Classical mechanics 1758:Quantum speed limit 1653:Quantum programming 1648:Quantum information 1477:Nielsen, Michael A. 1407:2016RvMP...88c5005C 1230:prime factorization 1118:quantum information 901:Information science 360:Stern–Gerlach 157:Classical mechanics 3579:History of physics 3212:in popular culture 2994:Quantum algorithms 2842:Von Neumann–Wigner 2822:Objective collapse 2533:Old quantum theory 2407:Forest/Rigetti QCS 2143:quantum logic gate 1929:Bernstein–Vazirani 1916:Quantum algorithms 1791:Classical capacity 1675:Quantum processors 1658:Quantum simulation 1527:ERA-Pilot QIST WP1 1268:Information theory 1176:no-cloning theorem 1114:information theory 548:Von Neumann–Wigner 528:Objective-collapse 327:Mach–Zehnder 317:Leggett inequality 312:Franck–Hertz 162:Old quantum theory 109: 3607: 3606: 3594:Physics education 3543:Materials science 3510:Interdisciplinary 3468:Quantum mechanics 3255: 3254: 3229:Quantum mysticism 3207:Schrödinger's cat 3138:Quantum simulator 3108:Quantum metrology 3036:Quantum computing 2999:Quantum amplifier 2976:Quantum spacetime 2941:Quantum cosmology 2931:Quantum chemistry 2646:Scattering theory 2594:Zero-point energy 2589:Degenerate levels 2497:Quantum mechanics 2463: 2462: 2374: 2373: 2271:Linear optical QC 2052:Quantum supremacy 2006:complexity theory 1959:Quantum annealing 1910: 1909: 1847:Superdense coding 1636:Quantum computing 1463:978-3-030-44223-1 1350:Petz recovery map 1278:Quantum computing 1273:Quantum mechanics 1246:quantum computing 1210:Quantum algorithm 1158:Majorana fermions 1141:quantum computers 1110:quantum mechanics 1103: 1102: 895: 894: 602:Scattering theory 582:Quantum computing 355:Schrödinger's cat 287:Bell's inequality 95: 70: 39:Quantum mechanics 16:(Redirected from 3627: 3533:Chemical physics 3473:Particle physics 3399:Classical optics 3282: 3275: 3268: 3259: 3258: 3245: 3244: 2956:Quantum geometry 2951:Quantum dynamics 2808:Superdeterminism 2704:Matrix mechanics 2559:Bra–ket notation 2490: 2483: 2476: 2467: 2466: 2453: 2452: 2443: 2442: 2249: 2248: 2179:error correction 2108:computing models 2074:Relaxation times 1964:Quantum counting 1853: 1852: 1801:quantum capacity 1748:No-teleportation 1733:No-communication 1605: 1598: 1591: 1582: 1581: 1510: 1481:Chuang, Isaac L. 1468: 1467: 1447: 1427: 1421: 1420: 1418: 1400: 1376: 1370: 1367: 1330:Quantum capacity 1095: 1088: 1081: 1016:Cultural studies 897: 896: 887: 880: 873: 514:Superdeterminism 167:Bra–ket notation 118: 116: 115: 110: 102: 97: 96: 88: 76: 71: 69: 58: 30: 29: 21: 3635: 3634: 3630: 3629: 3628: 3626: 3625: 3624: 3610: 3609: 3608: 3603: 3567: 3553:Medical physics 3504: 3463:Nuclear physics 3432: 3426:Non-equilibrium 3348: 3320: 3292: 3286: 3256: 3251: 3233: 3219:Wigner's friend 3195: 3186:Quantum gravity 3147: 3133:Quantum sensing 3113:Quantum network 3093:Quantum machine 3063:Quantum imaging 3026:Quantum circuit 3021:Quantum channel 2980: 2926:Quantum biology 2912: 2888:Elitzur–Vaidman 2863:Davisson–Germer 2846: 2798:Hidden-variable 2788:de Broglie–Bohm 2765:Interpretations 2759: 2723: 2677: 2564:Complementarity 2542: 2499: 2494: 2464: 2459: 2431: 2381: 2370: 2343:Superconducting 2337: 2303: 2294:Neutral atom QC 2286:Ultracold atoms 2280: 2245:implementations 2244: 2238: 2178: 2171: 2138:Quantum circuit 2106: 2100: 2094: 2084: 2044: 2038: 2005: 1998: 1954:Hidden subgroup 1906: 1895:other protocols 1851: 1828:quantum network 1823:Quantum channel 1783: 1777: 1723:No-broadcasting 1713:Gottesman–Knill 1686: 1614: 1609: 1517: 1499: 1472: 1471: 1464: 1428: 1424: 1377: 1373: 1368: 1364: 1359: 1354: 1258: 1207: 1130: 1099: 1070: 977: 908:General aspects 891: 862: 861: 860: 625: 617: 616: 562: 561:Advanced topics 554: 553: 552: 504:Hidden-variable 494:de Broglie–Bohm 473: 471:Interpretations 463: 462: 461: 431: 423: 422: 421: 379: 371: 370: 369: 336: 292:CHSH inequality 281: 273: 272: 271: 200:Complementarity 194: 186: 185: 184: 152: 123: 98: 87: 86: 72: 62: 57: 49: 46: 45: 28: 23: 22: 15: 12: 11: 5: 3633: 3623: 3622: 3605: 3604: 3602: 3601: 3596: 3591: 3586: 3581: 3575: 3573: 3569: 3568: 3566: 3565: 3560: 3555: 3550: 3545: 3540: 3535: 3530: 3525: 3520: 3514: 3512: 3506: 3505: 3503: 3502: 3497: 3496: 3495: 3490: 3485: 3475: 3470: 3465: 3460: 3459: 3458: 3453: 3442: 3440: 3434: 3433: 3431: 3430: 3429: 3428: 3423: 3416:Thermodynamics 3413: 3412: 3411: 3406: 3396: 3391: 3386: 3385: 3384: 3379: 3374: 3369: 3358: 3356: 3350: 3349: 3347: 3346: 3345: 3344: 3334: 3328: 3326: 3322: 3321: 3319: 3318: 3317: 3316: 3306: 3300: 3298: 3294: 3293: 3285: 3284: 3277: 3270: 3262: 3253: 3252: 3250: 3249: 3238: 3235: 3234: 3232: 3231: 3226: 3221: 3216: 3215: 3214: 3203: 3201: 3197: 3196: 3194: 3193: 3188: 3183: 3182: 3181: 3171: 3166: 3164:Casimir effect 3161: 3155: 3153: 3149: 3148: 3146: 3145: 3140: 3135: 3130: 3125: 3123:Quantum optics 3120: 3115: 3110: 3105: 3100: 3095: 3090: 3085: 3080: 3075: 3070: 3065: 3060: 3055: 3050: 3045: 3044: 3043: 3033: 3028: 3023: 3018: 3017: 3016: 3006: 3001: 2996: 2990: 2988: 2982: 2981: 2979: 2978: 2973: 2968: 2963: 2958: 2953: 2948: 2943: 2938: 2933: 2928: 2922: 2920: 2914: 2913: 2911: 2910: 2905: 2900: 2898:Quantum eraser 2895: 2890: 2885: 2880: 2875: 2870: 2865: 2860: 2854: 2852: 2848: 2847: 2845: 2844: 2839: 2834: 2829: 2824: 2819: 2814: 2813: 2812: 2811: 2810: 2795: 2790: 2785: 2780: 2775: 2769: 2767: 2761: 2760: 2758: 2757: 2752: 2747: 2742: 2737: 2731: 2729: 2725: 2724: 2722: 2721: 2716: 2711: 2706: 2701: 2696: 2691: 2685: 2683: 2679: 2678: 2676: 2675: 2674: 2673: 2668: 2658: 2653: 2648: 2643: 2638: 2633: 2628: 2623: 2618: 2613: 2608: 2603: 2598: 2597: 2596: 2591: 2586: 2581: 2571: 2569:Density matrix 2566: 2561: 2556: 2550: 2548: 2544: 2543: 2541: 2540: 2535: 2530: 2525: 2524: 2523: 2513: 2507: 2505: 2501: 2500: 2493: 2492: 2485: 2478: 2470: 2461: 2460: 2458: 2457: 2447: 2436: 2433: 2432: 2430: 2429: 2427:many others... 2424: 2419: 2414: 2409: 2400: 2386: 2384: 2376: 2375: 2372: 2371: 2369: 2368: 2363: 2358: 2353: 2347: 2345: 2339: 2338: 2336: 2335: 2330: 2325: 2320: 2314: 2312: 2305: 2304: 2302: 2301: 2299:Trapped-ion QC 2296: 2290: 2288: 2282: 2281: 2279: 2278: 2273: 2268: 2263: 2257: 2255: 2253:Quantum optics 2246: 2240: 2239: 2237: 2236: 2231: 2230: 2229: 2222: 2217: 2212: 2207: 2202: 2197: 2192: 2183: 2181: 2173: 2172: 2170: 2169: 2164: 2159: 2158: 2157: 2147: 2146: 2145: 2135: 2134: 2133: 2123: 2118: 2112: 2110: 2102: 2101: 2099: 2098: 2097: 2096: 2092: 2086: 2082: 2071: 2070: 2069: 2059: 2057:Quantum volume 2054: 2048: 2046: 2040: 2039: 2037: 2036: 2031: 2026: 2021: 2016: 2010: 2008: 2000: 1999: 1997: 1996: 1991: 1986: 1981: 1976: 1971: 1966: 1961: 1956: 1951: 1946: 1941: 1936: 1934:Boson sampling 1931: 1926: 1920: 1918: 1912: 1911: 1908: 1907: 1905: 1904: 1899: 1898: 1897: 1892: 1887: 1877: 1872: 1867: 1861: 1859: 1850: 1849: 1844: 1843: 1842: 1832: 1831: 1830: 1820: 1815: 1810: 1805: 1804: 1803: 1798: 1787: 1785: 1779: 1778: 1776: 1775: 1770: 1768:Solovay–Kitaev 1765: 1760: 1755: 1750: 1745: 1740: 1735: 1730: 1725: 1720: 1715: 1710: 1705: 1700: 1694: 1692: 1688: 1687: 1685: 1684: 1683: 1682: 1672: 1671: 1670: 1660: 1655: 1650: 1645: 1644: 1643: 1633: 1628: 1622: 1620: 1616: 1615: 1608: 1607: 1600: 1593: 1585: 1579: 1578: 1572: 1566: 1560: 1554: 1548: 1542: 1536: 1530: 1524: 1516: 1515:External links 1513: 1512: 1511: 1497: 1470: 1469: 1462: 1422: 1371: 1361: 1360: 1358: 1355: 1353: 1352: 1347: 1342: 1337: 1332: 1327: 1322: 1317: 1312: 1307: 1301: 1296: 1290: 1285: 1280: 1275: 1270: 1265: 1259: 1257: 1254: 1234:logical qubits 1206: 1203: 1129: 1126: 1101: 1100: 1098: 1097: 1090: 1083: 1075: 1072: 1071: 1069: 1068: 1063: 1058: 1053: 1048: 1043: 1038: 1033: 1028: 1023: 1018: 1013: 1008: 1006:Classification 1003: 998: 996:Categorization 993: 987: 984: 983: 979: 978: 976: 975: 970: 965: 960: 955: 950: 945: 940: 935: 930: 925: 920: 914: 911: 910: 904: 903: 893: 892: 890: 889: 882: 875: 867: 864: 863: 859: 858: 853: 848: 843: 838: 833: 828: 823: 818: 813: 808: 803: 798: 793: 788: 783: 778: 773: 768: 763: 758: 753: 748: 743: 738: 733: 728: 723: 718: 713: 708: 703: 698: 693: 688: 683: 678: 673: 668: 663: 658: 653: 648: 643: 638: 633: 627: 626: 623: 622: 619: 618: 615: 614: 609: 604: 599: 597:Density matrix 594: 589: 584: 579: 574: 569: 563: 560: 559: 556: 555: 551: 550: 545: 540: 535: 530: 525: 520: 519: 518: 517: 516: 501: 496: 491: 486: 481: 475: 474: 469: 468: 465: 464: 460: 459: 454: 449: 444: 439: 433: 432: 429: 428: 425: 424: 420: 419: 414: 409: 404: 399: 394: 388: 387: 386: 380: 377: 376: 373: 372: 368: 367: 362: 357: 351: 350: 349: 348: 347: 345:Delayed-choice 340:Quantum eraser 335: 334: 329: 324: 319: 314: 309: 304: 299: 294: 289: 283: 282: 279: 278: 275: 274: 270: 269: 268: 267: 257: 252: 247: 242: 237: 232: 230:Quantum number 227: 222: 217: 212: 207: 202: 196: 195: 192: 191: 188: 187: 183: 182: 177: 171: 170: 169: 164: 159: 153: 150: 149: 146: 145: 144: 143: 138: 133: 125: 124: 119: 108: 105: 101: 94: 91: 85: 82: 79: 75: 68: 65: 61: 56: 53: 42: 41: 35: 34: 26: 9: 6: 4: 3: 2: 3632: 3621: 3618: 3617: 3615: 3600: 3597: 3595: 3592: 3590: 3587: 3585: 3582: 3580: 3577: 3576: 3574: 3570: 3564: 3561: 3559: 3558:Ocean physics 3556: 3554: 3551: 3549: 3546: 3544: 3541: 3539: 3536: 3534: 3531: 3529: 3526: 3524: 3521: 3519: 3516: 3515: 3513: 3511: 3507: 3501: 3498: 3494: 3493:Modern optics 3491: 3489: 3486: 3484: 3481: 3480: 3479: 3476: 3474: 3471: 3469: 3466: 3464: 3461: 3457: 3454: 3452: 3449: 3448: 3447: 3444: 3443: 3441: 3439: 3435: 3427: 3424: 3422: 3419: 3418: 3417: 3414: 3410: 3407: 3405: 3402: 3401: 3400: 3397: 3395: 3392: 3390: 3387: 3383: 3380: 3378: 3375: 3373: 3370: 3368: 3365: 3364: 3363: 3360: 3359: 3357: 3355: 3351: 3343: 3342:Computational 3340: 3339: 3338: 3335: 3333: 3330: 3329: 3327: 3323: 3315: 3312: 3311: 3310: 3307: 3305: 3302: 3301: 3299: 3295: 3291: 3283: 3278: 3276: 3271: 3269: 3264: 3263: 3260: 3248: 3240: 3239: 3236: 3230: 3227: 3225: 3222: 3220: 3217: 3213: 3210: 3209: 3208: 3205: 3204: 3202: 3198: 3192: 3189: 3187: 3184: 3180: 3177: 3176: 3175: 3172: 3170: 3167: 3165: 3162: 3160: 3157: 3156: 3154: 3150: 3144: 3141: 3139: 3136: 3134: 3131: 3129: 3126: 3124: 3121: 3119: 3116: 3114: 3111: 3109: 3106: 3104: 3101: 3099: 3096: 3094: 3091: 3089: 3086: 3084: 3083:Quantum logic 3081: 3079: 3076: 3074: 3071: 3069: 3066: 3064: 3061: 3059: 3056: 3054: 3051: 3049: 3046: 3042: 3039: 3038: 3037: 3034: 3032: 3029: 3027: 3024: 3022: 3019: 3015: 3012: 3011: 3010: 3007: 3005: 3002: 3000: 2997: 2995: 2992: 2991: 2989: 2987: 2983: 2977: 2974: 2972: 2969: 2967: 2964: 2962: 2959: 2957: 2954: 2952: 2949: 2947: 2944: 2942: 2939: 2937: 2936:Quantum chaos 2934: 2932: 2929: 2927: 2924: 2923: 2921: 2919: 2915: 2909: 2906: 2904: 2903:Stern–Gerlach 2901: 2899: 2896: 2894: 2891: 2889: 2886: 2884: 2881: 2879: 2876: 2874: 2871: 2869: 2866: 2864: 2861: 2859: 2856: 2855: 2853: 2849: 2843: 2840: 2838: 2837:Transactional 2835: 2833: 2830: 2828: 2827:Quantum logic 2825: 2823: 2820: 2818: 2815: 2809: 2806: 2805: 2804: 2801: 2800: 2799: 2796: 2794: 2791: 2789: 2786: 2784: 2781: 2779: 2776: 2774: 2771: 2770: 2768: 2766: 2762: 2756: 2753: 2751: 2748: 2746: 2743: 2741: 2738: 2736: 2733: 2732: 2730: 2726: 2720: 2717: 2715: 2712: 2710: 2707: 2705: 2702: 2700: 2697: 2695: 2692: 2690: 2687: 2686: 2684: 2680: 2672: 2669: 2667: 2664: 2663: 2662: 2661:Wave function 2659: 2657: 2654: 2652: 2649: 2647: 2644: 2642: 2639: 2637: 2636:Superposition 2634: 2632: 2631:Quantum state 2629: 2627: 2624: 2622: 2619: 2617: 2614: 2612: 2609: 2607: 2604: 2602: 2599: 2595: 2592: 2590: 2587: 2585: 2584:Excited state 2582: 2580: 2577: 2576: 2575: 2572: 2570: 2567: 2565: 2562: 2560: 2557: 2555: 2552: 2551: 2549: 2545: 2539: 2536: 2534: 2531: 2529: 2526: 2522: 2519: 2518: 2517: 2514: 2512: 2509: 2508: 2506: 2502: 2498: 2491: 2486: 2484: 2479: 2477: 2472: 2471: 2468: 2456: 2448: 2446: 2438: 2437: 2434: 2428: 2425: 2423: 2420: 2418: 2415: 2413: 2410: 2408: 2404: 2401: 2399: 2395: 2391: 2388: 2387: 2385: 2383: 2377: 2367: 2364: 2362: 2359: 2357: 2354: 2352: 2349: 2348: 2346: 2344: 2340: 2334: 2331: 2329: 2326: 2324: 2323:Spin qubit QC 2321: 2319: 2316: 2315: 2313: 2310: 2306: 2300: 2297: 2295: 2292: 2291: 2289: 2287: 2283: 2277: 2274: 2272: 2269: 2267: 2264: 2262: 2259: 2258: 2256: 2254: 2250: 2247: 2241: 2235: 2232: 2228: 2227: 2223: 2221: 2218: 2216: 2213: 2211: 2208: 2206: 2203: 2201: 2198: 2196: 2193: 2191: 2188: 2187: 2185: 2184: 2182: 2180: 2174: 2168: 2165: 2163: 2160: 2156: 2153: 2152: 2151: 2148: 2144: 2141: 2140: 2139: 2136: 2132: 2131:cluster state 2129: 2128: 2127: 2124: 2122: 2119: 2117: 2114: 2113: 2111: 2109: 2103: 2095: 2091: 2087: 2085: 2081: 2077: 2076: 2075: 2072: 2068: 2065: 2064: 2063: 2060: 2058: 2055: 2053: 2050: 2049: 2047: 2041: 2035: 2032: 2030: 2027: 2025: 2022: 2020: 2017: 2015: 2012: 2011: 2009: 2007: 2001: 1995: 1992: 1990: 1987: 1985: 1982: 1980: 1977: 1975: 1972: 1970: 1967: 1965: 1962: 1960: 1957: 1955: 1952: 1950: 1947: 1945: 1942: 1940: 1939:Deutsch–Jozsa 1937: 1935: 1932: 1930: 1927: 1925: 1922: 1921: 1919: 1917: 1913: 1903: 1900: 1896: 1893: 1891: 1888: 1886: 1883: 1882: 1881: 1878: 1876: 1875:Quantum money 1873: 1871: 1868: 1866: 1863: 1862: 1860: 1858: 1854: 1848: 1845: 1841: 1838: 1837: 1836: 1833: 1829: 1826: 1825: 1824: 1821: 1819: 1816: 1814: 1811: 1809: 1806: 1802: 1799: 1797: 1794: 1793: 1792: 1789: 1788: 1786: 1784:communication 1780: 1774: 1771: 1769: 1766: 1764: 1761: 1759: 1756: 1754: 1751: 1749: 1746: 1744: 1741: 1739: 1736: 1734: 1731: 1729: 1726: 1724: 1721: 1719: 1716: 1714: 1711: 1709: 1706: 1704: 1701: 1699: 1696: 1695: 1693: 1689: 1681: 1678: 1677: 1676: 1673: 1669: 1666: 1665: 1664: 1661: 1659: 1656: 1654: 1651: 1649: 1646: 1642: 1639: 1638: 1637: 1634: 1632: 1629: 1627: 1624: 1623: 1621: 1617: 1613: 1606: 1601: 1599: 1594: 1592: 1587: 1586: 1583: 1576: 1573: 1570: 1567: 1564: 1561: 1558: 1555: 1552: 1549: 1546: 1543: 1540: 1537: 1534: 1531: 1528: 1525: 1522: 1519: 1518: 1508: 1504: 1500: 1498:9780511992773 1494: 1490: 1486: 1483:(June 2012). 1482: 1478: 1474: 1473: 1465: 1459: 1455: 1451: 1446: 1441: 1437: 1433: 1426: 1417: 1412: 1408: 1404: 1399: 1394: 1391:(3): 035005. 1390: 1386: 1382: 1375: 1366: 1362: 1351: 1348: 1346: 1343: 1341: 1338: 1336: 1333: 1331: 1328: 1326: 1323: 1321: 1318: 1316: 1313: 1311: 1308: 1305: 1302: 1300: 1297: 1294: 1291: 1289: 1286: 1284: 1281: 1279: 1276: 1274: 1271: 1269: 1266: 1264: 1261: 1260: 1253: 1251: 1247: 1243: 1239: 1235: 1231: 1227: 1223: 1219: 1215: 1211: 1202: 1201:programming. 1199: 1195: 1191: 1187: 1183: 1181: 1177: 1173: 1169: 1165: 1161: 1159: 1155: 1150: 1146: 1142: 1138: 1134: 1125: 1123: 1119: 1115: 1111: 1107: 1096: 1091: 1089: 1084: 1082: 1077: 1076: 1074: 1073: 1067: 1064: 1062: 1059: 1057: 1054: 1052: 1049: 1047: 1044: 1042: 1039: 1037: 1034: 1032: 1029: 1027: 1024: 1022: 1021:Data modeling 1019: 1017: 1014: 1012: 1009: 1007: 1004: 1002: 999: 997: 994: 992: 991:Bibliometrics 989: 988: 986: 985: 981: 980: 974: 971: 969: 966: 964: 961: 959: 956: 954: 951: 949: 946: 944: 941: 939: 936: 934: 931: 929: 926: 924: 921: 919: 916: 915: 913: 912: 909: 906: 905: 902: 899: 898: 888: 883: 881: 876: 874: 869: 868: 866: 865: 857: 854: 852: 849: 847: 844: 842: 839: 837: 834: 832: 829: 827: 824: 822: 819: 817: 814: 812: 809: 807: 804: 802: 799: 797: 794: 792: 789: 787: 784: 782: 779: 777: 774: 772: 769: 767: 764: 762: 759: 757: 754: 752: 749: 747: 744: 742: 739: 737: 734: 732: 729: 727: 724: 722: 719: 717: 714: 712: 709: 707: 704: 702: 699: 697: 694: 692: 689: 687: 684: 682: 679: 677: 674: 672: 669: 667: 664: 662: 659: 657: 654: 652: 649: 647: 644: 642: 639: 637: 634: 632: 629: 628: 621: 620: 613: 610: 608: 605: 603: 600: 598: 595: 593: 590: 588: 587:Quantum chaos 585: 583: 580: 578: 575: 573: 570: 568: 565: 564: 558: 557: 549: 546: 544: 543:Transactional 541: 539: 536: 534: 533:Quantum logic 531: 529: 526: 524: 521: 515: 512: 511: 510: 507: 506: 505: 502: 500: 497: 495: 492: 490: 487: 485: 482: 480: 477: 476: 472: 467: 466: 458: 455: 453: 450: 448: 445: 443: 440: 438: 435: 434: 427: 426: 418: 415: 413: 410: 408: 405: 403: 400: 398: 395: 393: 390: 389: 385: 382: 381: 375: 374: 366: 363: 361: 358: 356: 353: 352: 346: 343: 342: 341: 338: 337: 333: 330: 328: 325: 323: 320: 318: 315: 313: 310: 308: 305: 303: 300: 298: 295: 293: 290: 288: 285: 284: 277: 276: 266: 263: 262: 261: 260:Wave function 258: 256: 253: 251: 248: 246: 243: 241: 240:Superposition 238: 236: 233: 231: 228: 226: 223: 221: 218: 216: 213: 211: 208: 206: 203: 201: 198: 197: 190: 189: 181: 178: 176: 173: 172: 168: 165: 163: 160: 158: 155: 154: 148: 147: 142: 139: 137: 134: 132: 129: 128: 127: 126: 122: 89: 83: 66: 63: 59: 51: 44: 43: 40: 37: 36: 32: 31: 19: 3562: 3518:Astrophysics 3332:Experimental 2966:Quantum mind 2878:Franck–Hertz 2740:Klein–Gordon 2689:Formulations 2682:Formulations 2611:Interference 2601:Entanglement 2579:Ground state 2574:Energy level 2547:Fundamentals 2511:Introduction 2351:Charge qubit 2276:KLM protocol 2225: 2089: 2079: 1773:Purification 1703:Eastin–Knill 1611: 1484: 1435: 1425: 1388: 1384: 1374: 1365: 1208: 1184: 1168:one time pad 1162: 1137:entanglement 1131: 1121: 1105: 1104: 1065: 1056:Preservation 923:Architecture 576: 442:Klein–Gordon 378:Formulations 215:Energy level 210:Entanglement 193:Fundamentals 180:Interference 131:Introduction 3421:Statistical 3337:Theoretical 3314:Engineering 3224:EPR paradox 3004:Quantum bus 2873:Double-slit 2851:Experiments 2817:Many-worlds 2755:Schrödinger 2719:Phase space 2709:Schrödinger 2699:Interaction 2656:Uncertainty 2626:Nonlocality 2621:Measurement 2616:Decoherence 2606:Hamiltonian 2382:programming 2361:Phase qubit 2266:Circuit QED 1738:No-deleting 1680:cloud-based 1120:. The term 1026:Informatics 831:von Neumann 816:Schrödinger 592:EPR paradox 523:Many-worlds 457:Schrödinger 412:Schrödinger 407:Phase-space 397:Interaction 302:Double-slit 280:Experiments 255:Uncertainty 225:Nonlocality 220:Measurement 205:Decoherence 175:Hamiltonian 3538:Geophysics 3528:Biophysics 3372:Analytical 3325:Approaches 3152:Extensions 2986:Technology 2832:Relational 2783:Copenhagen 2694:Heisenberg 2641:Tunnelling 2504:Background 2422:libquantum 2356:Flux qubit 2261:Cavity QED 2210:Bacon–Shor 2200:stabilizer 1728:No-cloning 1445:2001.09580 1398:1505.03535 1357:References 1226:Peter Shor 1218:algorithms 1001:Censorship 963:Philosophy 933:Management 826:Sommerfeld 741:Heisenberg 736:Gutzwiller 676:de Broglie 624:Scientists 538:Relational 489:Copenhagen 392:Heisenberg 250:Tunnelling 151:Background 3488:Molecular 3389:Acoustics 3382:Continuum 3377:Celestial 3367:Newtonian 3354:Classical 3297:Divisions 2858:Bell test 2728:Equations 2554:Born rule 2328:NV center 1763:Threshold 1743:No-hiding 1708:Gleason's 1507:700706156 938:Retrieval 856:Zeilinger 701:Ehrenfest 430:Equations 107:⟩ 104:Ψ 93:^ 81:⟩ 78:Ψ 55:ℏ 3614:Category 3247:Category 3041:Timeline 2793:Ensemble 2773:Bayesian 2666:Collapse 2538:Glossary 2521:Timeline 2390:OpenQASM 2366:Transmon 2243:Physical 2043:Quantum 1944:Grover's 1718:Holevo's 1691:Theorems 1641:timeline 1631:NISQ era 1521:Quantiki 1256:See also 1172:Cold War 973:Taxonomy 958:Ontology 928:Behavior 781:Millikan 706:Einstein 691:Davisson 646:Blackett 631:Aharonov 499:Ensemble 479:Bayesian 384:Overview 265:Collapse 245:Symmetry 136:Glossary 3572:Related 3456:General 3451:Special 3309:Applied 3200:Related 3179:History 2918:Science 2750:Rydberg 2516:History 2380:Quantum 2318:Kane QC 2177:Quantum 2105:Quantum 2034:PostBQP 2004:Quantum 1989:Simon's 1782:Quantum 1619:General 1575:QST@LSU 1403:Bibcode 1194:Q Sharp 1061:Privacy 948:Society 943:Seeking 821:Simmons 811:Rydberg 776:Moseley 756:Kramers 746:Hilbert 731:Glauber 726:Feynman 711:Everett 681:Compton 452:Rydberg 141:History 3483:Atomic 3438:Modern 3288:Major 2893:Popper 2398:IBM QX 2394:Qiskit 2333:NMR QC 2311:-based 2215:Steane 2186:Codes 1984:Shor's 1890:SARG04 1698:Bell's 1545:mathQI 1505:  1495:  1460:  1186:Qiskit 1154:qubits 1145:Google 1051:Memory 918:Access 851:Zeeman 846:Wigner 796:Planck 766:Landau 751:Jordan 402:Matrix 332:Popper 2803:Local 2745:Pauli 2735:Dirac 2220:Toric 1663:Qubit 1569:CQC2T 1557:CQuIC 1551:CQIST 1440:arXiv 1393:arXiv 1112:with 806:Raman 791:Pauli 786:Onnes 721:Fermi 696:Debye 686:Dirac 651:Bloch 641:Bethe 509:Local 447:Pauli 437:Dirac 235:State 3409:Wave 3304:Pure 2412:Cirq 2403:Quil 2309:Spin 2205:Shor 1885:BB84 1818:LOCC 1533:QIIC 1503:OCLC 1493:ISBN 1458:ISBN 1240:and 1220:and 1212:and 1192:and 1190:Cirq 1178:and 1147:and 841:Wien 836:Weyl 801:Rabi 771:Laue 761:Lamb 716:Fock 671:Bose 666:Born 661:Bohr 656:Bohm 636:Bell 3404:Ray 2226:gnu 2190:CSS 2067:XEB 2029:QMA 2024:QIP 2019:EQP 2014:BQP 1994:VQE 1949:HHL 1753:PBR 1563:CQT 1539:QIP 1450:doi 1411:doi 1242:ECC 1238:RSA 1149:IBM 3616:: 2417:Q# 1501:. 1491:. 1479:; 1456:. 1448:. 1409:. 1401:. 1389:88 1387:. 1383:. 1188:, 1135:, 3281:e 3274:t 3267:v 2489:e 2482:t 2475:v 2405:– 2396:– 2392:– 2093:2 2090:T 2083:1 2080:T 1604:e 1597:t 1590:v 1509:. 1466:. 1452:: 1442:: 1419:. 1413:: 1405:: 1395:: 1094:e 1087:t 1080:v 886:e 879:t 872:v 100:| 90:H 84:= 74:| 67:t 64:d 60:d 52:i 20:)

Index

Quantum information processing
Quantum mechanics
Schrödinger equation
Introduction
Glossary
History
Classical mechanics
Old quantum theory
Bra–ket notation
Hamiltonian
Interference
Complementarity
Decoherence
Entanglement
Energy level
Measurement
Nonlocality
Quantum number
State
Superposition
Symmetry
Tunnelling
Uncertainty
Wave function
Collapse
Bell's inequality
CHSH inequality
Davisson–Germer
Double-slit
Elitzur–Vaidman

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑