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Spin qubit quantum computer

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D. P. DiVincenzo, in Mesoscopic Electron Transport, Vol. 345 of NATO Advanced Study Institute, Series E: Applied Sciences, edited by L. Sohn, L. Kouwenhoven, and G. Schoen (Kluwer, Dordrecht, 1997);
861: 1029: 1081: 1128: 547: 478: 447: 758: 1377: 515: 890: 611: 392: 1334:{\displaystyle U_{\rm {XOR}}=e^{i{\frac {\pi }{2}}S_{\rm {L}}^{z}}e^{-i{\frac {\pi }{2}}S_{\rm {R}}^{z}}U_{\rm {sw}}^{1/2}e^{i\pi S_{\rm {L}}^{z}}U_{\rm {sw}}^{1/2}.} 2076: 794: 416: 2038: 593: 569: 276: 2768: 91: 2669: 2330: 2231: 2556: 1792:
Watzinger, Hannes; Kukučka, Josip; Vukušić, Lada; Gao, Fei; Wang, Ting; Schäffler, Friedrich; Zhang, Jian-Jun; Katsaros, Georgios (2018-09-25).
895: 2911: 2880: 2066: 1621: 2838: 1607: 2414: 2890: 2778: 2031: 1593: 170: 2364: 1386: 152: 145: 2706: 2701: 2429: 2409: 1622:"What Intel is Planning for the Future of Quantum Computing: Hot Qubits, Cold Control Chips, and Rapid Testing - IEEE Spectrum" 799: 2208: 2696: 2010: 1453: 2729: 2551: 2454: 2115: 2734: 2602: 2193: 2024: 98: 2514: 2374: 2148: 1942:
Barenco, Adriano; Deutsch, David; Ekert, Artur; Josza, Richard (1995). "Conditional Quantum Dynamics and Logic Gates".
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Bluhm, Hendrik; Foletti, Sandra; Neder, Izhar; Rudner, Mark; Mahalu, Diana; Umansky, Vladimir; Yacoby, Amir (2010).
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Trauzettel, Björn; Bulaev, Denis V.; Loss, Daniel; Burkard, Guido (2007). "Spin qubits in graphene quantum dots".
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Wang, Siying; Querner, Claudia; Dadosh, Tali; Crouch, Catherine H.; Novikov, Dmitry S.; Drndic, Marija (2011).
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The swap operation is achieved by applying a pulsed inter-dot gate voltage, so the exchange constant in the
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The Loss–DiVincenzo quantum computer operates, basically, using inter-dot gate voltage for implementing
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in the Loss-DiVincenzo proposal. A narrow gate between the two dots can modulate the coupling, allowing
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Petta, J. R. (2005). "Coherent Manipulation of Coupled Electron Spins in Semiconductor Quantum Dots".
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system. Earlier work on applications of quantum dots for quantum computing was done by Barenco et al.
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operations and local magnetic fields (or any other local spin manipulation) for implementing the
2424: 17: 2013:, allows building and running quantum algorithms on "Spin-2" a 2 silicon spin qubits processor. 1477: 2842: 2487: 2394: 2351: 2282: 2198: 2178: 2133: 2093: 2071: 1977: 1904: 1851: 1833: 1774: 1766: 1717: 1668: 1660: 1575: 1505: 374: 94:. Intel has developed quantum computers based on silicon spin qubits, also called hot qubits. 2509: 2459: 2236: 1969: 1896: 1841: 1823: 1756: 1707: 1652: 1565: 1497: 102: 35: 2635: 2573: 2263: 2258: 770: 397: 1965: 1892: 1819: 1752: 1696:"Dephasing time of GaAs electron-spin qubits coupled to a nuclear bath exceeding 200 ÎĽs" 1648: 1561: 1493: 2744: 2721: 2688: 2492: 2369: 1846: 1793: 578: 554: 43: 39: 353:{\displaystyle H_{\rm {s}}(t)=J(t)\mathbf {S} _{\rm {L}}\cdot \mathbf {S} _{\rm {R}}.} 2905: 2566: 2384: 2310: 1916: 1517: 761: 55: 51: 1989: 2786: 2711: 1680: 767:
We can choose a specific duration of the pulse such that the integral in time over
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devices. The first spin qubit quantum computer was first proposed by
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The Loss–DiVicenzo quantum computer proposal tried to fulfill
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Spin qubits so far have been implemented by locally depleting
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Vandersypen, Lieven M. K.; Eriksson, Mark A. (2019-08-01).
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Proposed semiconductor implementation of quantum computers
856:{\displaystyle J_{0}\tau _{\rm {s}}=\pi {\pmod {2\pi }},} 74:
degree of freedom of individual electrons confined in
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Spin qubits have also been implemented in 1024:{\displaystyle J_{0}\tau _{\rm {s}}=\pi /2} 92:nuclear magnetic resonance quantum computer 2684: 2288: 2039: 2025: 2017: 401: 1955: 1882: 1845: 1827: 1809: 1760: 1711: 1569: 1551: 1414: 1413: 1408: 1397: 1396: 1391: 1388: 1356: 1355: 1349: 1318: 1314: 1305: 1304: 1292: 1286: 1285: 1274: 1260: 1256: 1247: 1246: 1234: 1228: 1227: 1213: 1206: 1194: 1188: 1187: 1173: 1169: 1149: 1148: 1142: 1110: 1106: 1097: 1096: 1090: 1060: 1056: 1047: 1046: 1040: 1013: 1000: 999: 989: 983: 953: 952: 929: 928: 918: 904: 903: 897: 875: 874: 868: 831: 818: 817: 807: 801: 772: 744: 743: 741: 694: 693: 672: 667: 640: 639: 620: 619: 613: 580: 556: 529: 528: 522: 498: 492: 459: 454: 432: 431: 425: 399: 376: 340: 339: 334: 323: 322: 317: 285: 284: 278: 223:for a scalable quantum computer, namely: 171:Learn how and when to remove this message 602:From the pulsed Hamiltonian follows the 70:. The proposal was to use the intrinsic 2557:Continuous-variable quantum information 1536:"Quantum computation with quantum dots" 1465: 978:This pulse run for half the time (with 456: 227:identification of well-defined qubits; 151:Please improve this section by adding 7: 1471: 1469: 251:Implementation of the two-qubit gate 236:accurate quantum gate operations and 1076:{\displaystyle U_{\rm {sw}}^{1/2}.} 839: 363:This description is only valid if: 1415: 1398: 1363: 1360: 1357: 1309: 1306: 1287: 1251: 1248: 1229: 1189: 1156: 1153: 1150: 1123:{\displaystyle U_{\rm {sw}}^{1/2}} 1101: 1098: 1051: 1048: 1001: 957: 954: 930: 905: 876: 819: 695: 621: 530: 495: 464: 433: 378: 341: 324: 286: 25: 2886: 2885: 2876: 2875: 1409: 1392: 542:{\displaystyle \tau _{\rm {s}}.} 335: 318: 129: 68:Loss–DiVincenzo quantum computer 18:Loss-DiVincenzo quantum computer 832: 473:{\displaystyle \hbar /\Delta E} 442:{\displaystyle \tau _{\rm {s}}} 2011:Delft University of Technology 1454:Quantum dot cellular automaton 942: 911: 846: 833: 783: 777: 753:{\displaystyle {\mathcal {T}}} 712: 701: 633: 627: 313: 307: 298: 292: 99:two-dimensional electron gases 1: 2552:Adiabatic quantum computation 1794:"A germanium hole spin qubit" 1372:{\displaystyle U_{\rm {XOR}}} 153:secondary or tertiary sources 2603:Topological quantum computer 510:{\displaystyle \Gamma ^{-1}} 239:strong quantum measurements. 2912:Quantum information science 2881:Quantum information science 2048:Quantum information science 1974:10.1103/PhysRevLett.74.4083 1130:operations with individual 885:{\displaystyle U_{\rm {s}}} 230:reliable state preparation; 66:in 1997, also known as the 32:spin qubit quantum computer 2933: 2276:quantum gate teleportation 1829:10.1038/s41467-018-06418-4 892:becomes the swap operator 2871: 2405:Quantum Fourier transform 2301:Post-quantum cryptography 2244:Entanglement distillation 1931:on arXiv.org in Dec. 1996 101:in semiconductors such a 38:based on controlling the 2891:Quantum mechanics topics 2586:Quantum machine learning 2562:One-way quantum computer 2415:Quantum phase estimation 2316:Quantum key distribution 2249:Monogamy of entanglement 1431:. It can be made into a 387:{\displaystyle \Delta E} 270:becomes time-dependent: 2498:Randomized benchmarking 2360:Amplitude amplification 1657:10.1126/science.1116955 1571:10.1103/physreva.57.120 1381:conditional phase shift 604:time evolution operator 121:Loss–DiVicenzo proposal 2598:Quantum Turing machine 2591:quantum neural network 2338:Quantum secret sharing 1425: 1373: 1335: 1124: 1077: 1025: 970: 886: 857: 790: 754: 727: 595:is the temperature in 589: 565: 543: 511: 474: 443: 412: 388: 354: 268:Heisenberg Hamiltonian 216: 191:. Each electron spin 140:relies excessively on 2670:Entanglement-assisted 2631:quantum convolutional 2306:Quantum coin flipping 2271:Quantum teleportation 2232:entanglement-assisted 2062:DiVincenzo's criteria 2009:online platform from 1798:Nature Communications 1741:Nature Communications 1449:Kane quantum computer 1426: 1374: 1336: 1125: 1078: 1026: 971: 887: 858: 791: 755: 728: 590: 566: 544: 512: 475: 444: 420:the pulse time scale 413: 394:is much greater than 389: 355: 221:DiVincenzo's criteria 186: 88:Kane quantum computer 2481:processor benchmarks 2410:Quantum optimization 2293:Quantum cryptography 2104:physical vs. logical 1387: 1348: 1141: 1089: 1039: 982: 896: 867: 800: 789:{\displaystyle J(t)} 771: 740: 612: 579: 555: 521: 491: 453: 424: 411:{\displaystyle \;kT} 398: 375: 277: 2194:Quantum speed limit 2089:Quantum programming 2084:Quantum information 1966:1995PhRvL..74.4083B 1893:2007NatPh...3..192T 1820:2018NatCo...9.3902W 1753:2011NatCo...2..364W 1649:2005Sci...309.2180P 1643:(5744): 2180–2184. 1562:1998PhRvA..57..120L 1494:2019PhT....72h..38V 1327: 1297: 1269: 1239: 1199: 1119: 1069: 1033:square root of swap 677: 371:in the quantum-dot 261:controlled NOT gate 245:lateral quantum dot 86:as qubit, like the 64:David P. DiVincenzo 2843:Forest/Rigetti QCS 2579:quantum logic gate 2365:Bernstein–Vazirani 2352:Quantum algorithms 2227:Classical capacity 2111:Quantum processors 2094:Quantum simulation 1762:10.1038/ncomms1357 1421: 1369: 1331: 1300: 1281: 1242: 1223: 1183: 1120: 1092: 1073: 1042: 1021: 966: 882: 853: 786: 750: 723: 663: 585: 573:Boltzmann constant 561: 539: 507: 470: 439: 408: 384: 350: 217: 2899: 2898: 2810: 2809: 2707:Linear optical QC 2488:Quantum supremacy 2442:complexity theory 2395:Quantum annealing 2346: 2345: 2283:Superdense coding 2072:Quantum computing 1950:(20): 4083–4086. 1713:10.1038/nphys1856 1540:Physical Review A 1502:10.1063/PT.3.4270 1221: 1181: 588:{\displaystyle T} 564:{\displaystyle k} 181: 180: 173: 16:(Redirected from 2924: 2889: 2888: 2879: 2878: 2685: 2615:error correction 2544:computing models 2510:Relaxation times 2400:Quantum counting 2289: 2237:quantum capacity 2184:No-teleportation 2169:No-communication 2041: 2034: 2027: 2018: 1994: 1993: 1959: 1957:quant-ph/9503017 1939: 1933: 1927: 1921: 1920: 1901:10.1038/nphys544 1886: 1884:cond-mat/0611252 1866: 1860: 1859: 1849: 1831: 1813: 1789: 1783: 1782: 1764: 1732: 1726: 1725: 1715: 1691: 1685: 1684: 1632: 1626: 1625: 1618: 1612: 1611: 1604: 1598: 1597: 1590: 1584: 1583: 1573: 1555: 1553:cond-mat/9701055 1531: 1522: 1521: 1473: 1430: 1428: 1427: 1422: 1420: 1419: 1418: 1412: 1403: 1402: 1401: 1395: 1378: 1376: 1375: 1370: 1368: 1367: 1366: 1340: 1338: 1337: 1332: 1326: 1322: 1313: 1312: 1299: 1298: 1296: 1291: 1290: 1268: 1264: 1255: 1254: 1241: 1240: 1238: 1233: 1232: 1222: 1214: 1201: 1200: 1198: 1193: 1192: 1182: 1174: 1161: 1160: 1159: 1129: 1127: 1126: 1121: 1118: 1114: 1105: 1104: 1082: 1080: 1079: 1074: 1068: 1064: 1055: 1054: 1030: 1028: 1027: 1022: 1017: 1006: 1005: 1004: 994: 993: 975: 973: 972: 967: 962: 961: 960: 935: 934: 933: 923: 922: 910: 909: 908: 891: 889: 888: 883: 881: 880: 879: 862: 860: 859: 854: 849: 824: 823: 822: 812: 811: 795: 793: 792: 787: 759: 757: 756: 751: 749: 748: 732: 730: 729: 724: 719: 715: 711: 700: 699: 698: 688: 676: 671: 645: 644: 626: 625: 624: 594: 592: 591: 586: 570: 568: 567: 562: 548: 546: 545: 540: 535: 534: 533: 516: 514: 513: 508: 506: 505: 479: 477: 476: 471: 463: 449:is greater than 448: 446: 445: 440: 438: 437: 436: 417: 415: 414: 409: 393: 391: 390: 385: 359: 357: 356: 351: 346: 345: 344: 338: 329: 328: 327: 321: 291: 290: 289: 233:low decoherence; 176: 169: 165: 162: 156: 133: 125: 103:gallium arsenide 36:quantum computer 21: 2932: 2931: 2927: 2926: 2925: 2923: 2922: 2921: 2902: 2901: 2900: 2895: 2867: 2817: 2806: 2779:Superconducting 2773: 2739: 2730:Neutral atom QC 2722:Ultracold atoms 2716: 2681:implementations 2680: 2674: 2614: 2607: 2574:Quantum circuit 2542: 2536: 2530: 2520: 2480: 2474: 2441: 2434: 2390:Hidden subgroup 2342: 2331:other protocols 2287: 2264:quantum network 2259:Quantum channel 2219: 2213: 2159:No-broadcasting 2149:Gottesman–Knill 2122: 2050: 2045: 2003: 1998: 1997: 1944:Phys. Rev. Lett 1941: 1940: 1936: 1928: 1924: 1868: 1867: 1863: 1791: 1790: 1786: 1734: 1733: 1729: 1693: 1692: 1688: 1634: 1633: 1629: 1620: 1619: 1615: 1606: 1605: 1601: 1596:. 22 June 2023. 1592: 1591: 1587: 1533: 1532: 1525: 1475: 1474: 1467: 1462: 1445: 1407: 1390: 1385: 1384: 1351: 1346: 1345: 1270: 1202: 1165: 1144: 1139: 1138: 1087: 1086: 1037: 1036: 1031:) results in a 995: 985: 980: 979: 948: 924: 914: 899: 894: 893: 870: 865: 864: 813: 803: 798: 797: 769: 768: 738: 737: 704: 689: 681: 656: 652: 615: 610: 609: 577: 576: 553: 552: 524: 519: 518: 517:is longer than 494: 489: 488: 451: 450: 427: 422: 421: 396: 395: 373: 372: 333: 316: 280: 275: 274: 253: 204: 197: 177: 166: 160: 157: 150: 146:primary sources 134: 123: 44:charge carriers 28: 23: 22: 15: 12: 11: 5: 2930: 2928: 2920: 2919: 2914: 2904: 2903: 2897: 2896: 2894: 2893: 2883: 2872: 2869: 2868: 2866: 2865: 2863:many others... 2860: 2855: 2850: 2845: 2836: 2822: 2820: 2812: 2811: 2808: 2807: 2805: 2804: 2799: 2794: 2789: 2783: 2781: 2775: 2774: 2772: 2771: 2766: 2761: 2756: 2750: 2748: 2741: 2740: 2738: 2737: 2735:Trapped-ion QC 2732: 2726: 2724: 2718: 2717: 2715: 2714: 2709: 2704: 2699: 2693: 2691: 2689:Quantum optics 2682: 2676: 2675: 2673: 2672: 2667: 2666: 2665: 2658: 2653: 2648: 2643: 2638: 2633: 2628: 2619: 2617: 2609: 2608: 2606: 2605: 2600: 2595: 2594: 2593: 2583: 2582: 2581: 2571: 2570: 2569: 2559: 2554: 2548: 2546: 2538: 2537: 2535: 2534: 2533: 2532: 2528: 2522: 2518: 2507: 2506: 2505: 2495: 2493:Quantum volume 2490: 2484: 2482: 2476: 2475: 2473: 2472: 2467: 2462: 2457: 2452: 2446: 2444: 2436: 2435: 2433: 2432: 2427: 2422: 2417: 2412: 2407: 2402: 2397: 2392: 2387: 2382: 2377: 2372: 2370:Boson sampling 2367: 2362: 2356: 2354: 2348: 2347: 2344: 2343: 2341: 2340: 2335: 2334: 2333: 2328: 2323: 2313: 2308: 2303: 2297: 2295: 2286: 2285: 2280: 2279: 2278: 2268: 2267: 2266: 2256: 2251: 2246: 2241: 2240: 2239: 2234: 2223: 2221: 2215: 2214: 2212: 2211: 2206: 2204:Solovay–Kitaev 2201: 2196: 2191: 2186: 2181: 2176: 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2728: 2727: 2725: 2723: 2719: 2713: 2710: 2708: 2705: 2703: 2700: 2698: 2695: 2694: 2692: 2690: 2686: 2683: 2677: 2671: 2668: 2664: 2663: 2659: 2657: 2654: 2652: 2649: 2647: 2644: 2642: 2639: 2637: 2634: 2632: 2629: 2627: 2624: 2623: 2621: 2620: 2618: 2616: 2610: 2604: 2601: 2599: 2596: 2592: 2589: 2588: 2587: 2584: 2580: 2577: 2576: 2575: 2572: 2568: 2567:cluster state 2565: 2564: 2563: 2560: 2558: 2555: 2553: 2550: 2549: 2547: 2545: 2539: 2531: 2527: 2523: 2521: 2517: 2513: 2512: 2511: 2508: 2504: 2501: 2500: 2499: 2496: 2494: 2491: 2489: 2486: 2485: 2483: 2477: 2471: 2468: 2466: 2463: 2461: 2458: 2456: 2453: 2451: 2448: 2447: 2445: 2443: 2437: 2431: 2428: 2426: 2423: 2421: 2418: 2416: 2413: 2411: 2408: 2406: 2403: 2401: 2398: 2396: 2393: 2391: 2388: 2386: 2383: 2381: 2378: 2376: 2375:Deutsch–Jozsa 2373: 2371: 2368: 2366: 2363: 2361: 2358: 2357: 2355: 2353: 2349: 2339: 2336: 2332: 2329: 2327: 2324: 2322: 2319: 2318: 2317: 2314: 2312: 2311:Quantum money 2309: 2307: 2304: 2302: 2299: 2298: 2296: 2294: 2290: 2284: 2281: 2277: 2274: 2273: 2272: 2269: 2265: 2262: 2261: 2260: 2257: 2255: 2252: 2250: 2247: 2245: 2242: 2238: 2235: 2233: 2230: 2229: 2228: 2225: 2224: 2222: 2220:communication 2216: 2210: 2207: 2205: 2202: 2200: 2197: 2195: 2192: 2190: 2187: 2185: 2182: 2180: 2177: 2175: 2172: 2170: 2167: 2165: 2162: 2160: 2157: 2155: 2152: 2150: 2147: 2145: 2142: 2140: 2137: 2135: 2132: 2131: 2129: 2125: 2117: 2114: 2113: 2112: 2109: 2105: 2102: 2101: 2100: 2097: 2095: 2092: 2090: 2087: 2085: 2082: 2078: 2075: 2074: 2073: 2070: 2068: 2065: 2063: 2060: 2059: 2057: 2053: 2049: 2042: 2037: 2035: 2030: 2028: 2023: 2022: 2019: 2012: 2008: 2005: 2004: 2000: 1991: 1987: 1983: 1979: 1975: 1971: 1967: 1963: 1958: 1953: 1949: 1945: 1938: 1935: 1932: 1926: 1923: 1918: 1914: 1910: 1906: 1902: 1898: 1894: 1890: 1885: 1880: 1876: 1872: 1865: 1862: 1857: 1853: 1848: 1843: 1839: 1835: 1830: 1825: 1821: 1817: 1812: 1807: 1803: 1799: 1795: 1788: 1785: 1780: 1776: 1772: 1768: 1763: 1758: 1754: 1750: 1746: 1742: 1738: 1731: 1728: 1723: 1719: 1714: 1709: 1705: 1701: 1697: 1690: 1687: 1682: 1678: 1674: 1670: 1666: 1662: 1658: 1654: 1650: 1646: 1642: 1638: 1631: 1628: 1623: 1617: 1614: 1609: 1603: 1600: 1595: 1589: 1586: 1581: 1577: 1572: 1567: 1563: 1559: 1554: 1549: 1545: 1541: 1537: 1530: 1528: 1524: 1519: 1515: 1511: 1507: 1503: 1499: 1495: 1491: 1487: 1483: 1482:Physics Today 1479: 1472: 1470: 1466: 1459: 1455: 1452: 1450: 1447: 1446: 1442: 1440: 1438: 1434: 1404: 1382: 1352: 1328: 1323: 1319: 1315: 1301: 1293: 1282: 1278: 1275: 1271: 1265: 1261: 1257: 1243: 1235: 1224: 1218: 1215: 1210: 1207: 1203: 1195: 1184: 1178: 1175: 1170: 1166: 1162: 1145: 1137: 1136: 1135: 1133: 1132:spin rotation 1115: 1111: 1107: 1093: 1083: 1070: 1065: 1061: 1057: 1043: 1034: 1018: 1014: 1010: 1007: 996: 990: 986: 976: 963: 949: 945: 939: 936: 925: 919: 915: 900: 871: 850: 843: 840: 836: 828: 825: 814: 808: 804: 780: 774: 765: 763: 762:time-ordering 720: 716: 708: 705: 690: 685: 682: 678: 673: 668: 664: 660: 657: 653: 649: 646: 636: 630: 616: 608: 607: 606: 605: 600: 598: 582: 574: 558: 536: 525: 502: 499: 486: 482: 467: 460: 428: 419: 405: 402: 381: 370: 369:level spacing 366: 365: 364: 347: 330: 310: 304: 301: 295: 281: 273: 272: 271: 269: 264: 263:(CNOT gate). 262: 258: 250: 248: 246: 238: 235: 232: 229: 226: 225: 224: 222: 214: 210: 209: 201: 194: 190: 185: 175: 172: 164: 154: 148: 147: 143: 138:This section 136: 132: 127: 126: 120: 118: 116: 112: 108: 104: 100: 95: 93: 89: 85: 81: 77: 73: 69: 65: 61: 57: 56:semiconductor 53: 49: 45: 41: 37: 33: 19: 2917:Quantum dots 2787:Charge qubit 2758: 2712:KLM protocol 2661: 2525: 2515: 2209:Purification 2139:Eastin–Knill 1947: 1943: 1937: 1925: 1874: 1870: 1864: 1801: 1797: 1787: 1744: 1740: 1730: 1703: 1699: 1689: 1640: 1636: 1630: 1616: 1602: 1588: 1543: 1539: 1485: 1481: 1343: 1134:operations: 1084: 977: 766: 735: 601: 551: 362: 265: 254: 242: 218: 206: 199: 192: 167: 161:January 2021 158: 139: 96: 84:nuclear spin 76:quantum dots 67: 31: 29: 2818:programming 2797:Phase qubit 2702:Circuit QED 2174:No-deleting 2116:cloud-based 1804:(1): 3902. 485:decoherence 215:operations. 189:quantum dot 60:Daniel Loss 2906:Categories 2858:libquantum 2792:Flux qubit 2697:Cavity QED 2646:Bacon–Shor 2636:stabilizer 2164:No-cloning 1811:1802.00395 1747:(1): 364. 1460:References 142:references 2764:NV center 2199:Threshold 2179:No-hiding 2144:Gleason's 1917:119431314 1909:1745-2473 1838:2041-1723 1771:2041-1723 1722:1745-2473 1665:0036-8075 1580:1050-2947 1518:201305644 1510:0031-9228 1488:(8): 38. 1279:π 1216:π 1208:− 1176:π 1011:π 997:τ 946:≡ 940:π 926:τ 844:π 829:π 815:τ 665:∫ 658:− 650:⁡ 526:τ 500:− 496:Γ 465:Δ 457:ℏ 429:τ 379:Δ 331:⋅ 187:A double 111:germanium 48:electrons 2826:OpenQASM 2802:Transmon 2679:Physical 2479:Quantum 2380:Grover's 2154:Holevo's 2127:Theorems 2077:timeline 2067:NISQ era 1990:26611140 1982:10058408 1856:30254225 1779:21694712 1673:16141370 1443:See also 764:symbol. 709:′ 686:′ 115:graphene 72:spin-1/2 2816:Quantum 2754:Kane QC 2613:Quantum 2541:Quantum 2470:PostBQP 2440:Quantum 2425:Simon's 2218:Quantum 2055:General 1962:Bibcode 1889:Bibcode 1847:6156604 1816:Bibcode 1749:Bibcode 1681:9107033 1645:Bibcode 1637:Science 1558:Bibcode 1490:Bibcode 760:is the 571:is the 107:silicon 90:or the 2834:IBM QX 2830:Qiskit 2769:NMR QC 2747:-based 2651:Steane 2622:Codes 2420:Shor's 2326:SARG04 2134:Bell's 1988:  1980:  1915:  1907:  1854:  1844:  1836:  1777:  1769:  1720:  1679:  1671:  1663:  1578:  1516:  1508:  1035:gate, 796:gives 736:where 597:Kelvin 80:qubits 2656:Toric 2099:Qubit 1986:S2CID 1952:arXiv 1913:S2CID 1879:arXiv 1806:arXiv 1677:S2CID 1548:arXiv 1514:S2CID 487:time 208:qubit 54:) in 34:is a 2848:Cirq 2839:Quil 2745:Spin 2641:Shor 2321:BB84 2254:LOCC 1978:PMID 1905:ISSN 1852:PMID 1834:ISSN 1775:PMID 1767:ISSN 1718:ISSN 1669:PMID 1661:ISSN 1576:ISSN 1506:ISSN 1433:CNOT 1344:The 863:and 575:and 483:the 367:the 257:swap 213:swap 109:and 62:and 50:and 40:spin 30:The 2662:gnu 2626:CSS 2503:XEB 2465:QMA 2460:QIP 2455:EQP 2450:BQP 2430:VQE 2385:HHL 2189:PBR 1970:doi 1897:doi 1842:PMC 1824:doi 1757:doi 1708:doi 1653:doi 1641:309 1566:doi 1498:doi 837:mod 647:exp 198:or 144:to 78:as 42:of 2908:: 2853:Q# 1984:. 1976:. 1968:. 1960:. 1948:74 1946:. 1911:. 1903:. 1895:. 1887:. 1873:. 1850:. 1840:. 1832:. 1822:. 1814:. 1800:. 1796:. 1773:. 1765:. 1755:. 1743:. 1739:. 1716:. 1702:. 1698:. 1675:. 1667:. 1659:. 1651:. 1639:. 1574:. 1564:. 1556:. 1544:57 1542:. 1538:. 1526:^ 1512:. 1504:. 1496:. 1486:72 1484:. 1480:. 1468:^ 1439:. 599:. 117:. 105:, 2841:– 2832:– 2828:– 2529:2 2526:T 2519:1 2516:T 2040:e 2033:t 2026:v 1992:. 1972:: 1964:: 1954:: 1919:. 1899:: 1891:: 1881:: 1875:3 1858:. 1826:: 1818:: 1808:: 1802:9 1781:. 1759:: 1751:: 1745:2 1724:. 1710:: 1704:7 1683:. 1655:: 1647:: 1624:. 1610:. 1582:. 1568:: 1560:: 1550:: 1520:. 1500:: 1492:: 1416:R 1410:S 1405:+ 1399:L 1393:S 1364:R 1361:O 1358:X 1353:U 1329:. 1324:2 1320:/ 1316:1 1310:w 1307:s 1302:U 1294:z 1288:L 1283:S 1276:i 1272:e 1266:2 1262:/ 1258:1 1252:w 1249:s 1244:U 1236:z 1230:R 1225:S 1219:2 1211:i 1204:e 1196:z 1190:L 1185:S 1179:2 1171:i 1167:e 1163:= 1157:R 1154:O 1151:X 1146:U 1116:2 1112:/ 1108:1 1102:w 1099:s 1094:U 1071:. 1066:2 1062:/ 1058:1 1052:w 1049:s 1044:U 1019:2 1015:/ 1008:= 1002:s 991:0 987:J 964:. 958:w 955:s 950:U 943:) 937:= 931:s 920:0 916:J 912:( 906:s 901:U 877:s 872:U 851:, 847:) 841:2 834:( 826:= 820:s 809:0 805:J 784:) 781:t 778:( 775:J 746:T 721:, 717:} 713:) 706:t 702:( 696:s 691:H 683:t 679:d 674:t 669:0 661:i 654:{ 642:T 637:= 634:) 631:t 628:( 622:s 617:U 583:T 559:k 537:. 531:s 503:1 468:E 461:/ 434:s 406:T 403:k 382:E 348:. 342:R 336:S 325:L 319:S 314:) 311:t 308:( 305:J 302:= 299:) 296:t 293:( 287:s 282:H 203:R 200:S 196:L 193:S 174:) 168:( 163:) 159:( 155:. 149:. 46:( 20:)

Index

Loss-DiVincenzo quantum computer
quantum computer
spin
charge carriers
electrons
electron holes
semiconductor
Daniel Loss
David P. DiVincenzo
spin-1/2
quantum dots
qubits
nuclear spin
Kane quantum computer
nuclear magnetic resonance quantum computer
two-dimensional electron gases
gallium arsenide
silicon
germanium
graphene

references
primary sources
secondary or tertiary sources
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quantum dot
qubit
swap
DiVincenzo's criteria

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