An analysis of reading out the state of a charge quantum bit

Quantum Information and Computation

Volumn 3, Issue 2, 2003, Pages 121-138

  Goan, Hsi Sheng ^a,b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Charge qubit; Quantum measurement; Quantum trajectories; Single shot readout; Stochastic Sch dinger equation

Indexed keywords

FOURIER ANALYSIS; POINT CONTACTS; PROBABILITY DISTRIBUTIONS; QUANTUM CHEMISTRY; QUBITS; SEMICONDUCTOR QUANTUM DOTS; STOCHASTIC SYSTEMS;

CHARGE QUBITS; DINGER EQUATION; QUANTUM MEASUREMENT; QUANTUM TRAJECTORIES; SINGLE-SHOT READOUT;

TRAJECTORIES;

EID: 0141865551     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (34)

1. See, e.g., H. J. Carmichael (guest Ed, 1996), Special issue on stochastic quantum optics, Quantum Semiclass. Opt. 8, pp. 47-314, and references therein.
2. B. E. Kane (1998), A silicon-based nuclear spin quantum computer, Nature, 393, pp. 133-137.
3. D. Loss and D. P. DiVincenzo (1998), Quantum computation with quantum dots, Phys. Rev. A 57, pp. 120-126.
4. A. Shnirman, G. Schön, and Z. Hermon (1997), Quantum manipulations of small Josephson junctions, Phys. Rev. Lett. 79, pp. 2371-2374; Y. Makhlin, G. Schön, and A. Shnirman (1999), Josephson-junction qubits with controlled couplings, Nature, 398, pp. 305-307.
5. A. Shnirman, G. Schön, and Z. Hermon (1997), Quantum manipulations of small Josephson junctions, Phys. Rev. Lett. 79, pp. 2371-2374; Y. Makhlin, G. Schön, and A. Shnirman (1999), Josephson-junction qubits with controlled couplings, Nature, 398, pp. 305-307.
6. D. V. Averin (1998), Adiabatic quantum computation with Cooper pairs, Solid State Commun. 105, pp. 659-663; L. B. Ioffe, V. B. Geshkenbein, M. V. Feigel'man, A. L. Fauchére, G. Blatter (1999), Environmentally decoupled sds -wave Josephson junctions for quantum computing, Nature, 398, pp. 679-681.
7. D. V. Averin (1998), Adiabatic quantum computation with Cooper pairs, Solid State Commun. 105, pp. 659-663; L. B. Ioffe, V. B. Geshkenbein, M. V. Feigel'man, A. L. Fauchére, G. Blatter (1999), Environmentally decoupled sds -wave Josephson junctions for quantum computing, Nature, 398, pp. 679-681.
8. T. Tanamoto (2000), Quantum gates by coupled asymmetric quantum dots and controlled-NOT-gate operation, Phys. Rev. A 61, 022305; T. Tanamoto (2000), One- And two-dimensional N-qubit systems in capacitively coupled quantum dots, Phys. Rev. A 64, 062306 (2001).
9. T. Tanamoto (2000), Quantum gates by coupled asymmetric quantum dots and controlled-NOT-gate operation, Phys. Rev. A 61, 022305; T. Tanamoto (2000), One- and two-dimensional N-qubit systems in capacitively coupled quantum dots, Phys. Rev. A 64, 062306 (2001).
10. A. N. Korotkov (1999), Continuous quantum measurement of a double dot, Phys. Rev. B 60, pp. 5737-5742.
11. A. N. Korotkov (2001), Selective quantum evolution of a qubit state due to continuous measurement, Phys. Rev. B 63, 115403.
12. H.-S. Goan, G. J. Milburn, H. M. Wiseman, and H. B. Sun (2001), Continuous quantum measurement of two coupled quantum dots using a point contact: A quantum trajectory approach, Phys. Rev. B 63, 125326.
13. H.-S. Goan and G. J. Milburn (2001), Dynamics of a mesoscopic charge quantum bit under continuous quantum measurement, Phys. Rev. B 64, 235307.
14. S. A. Gurvitz (1997), Measurements with a noninvasive detector and dephasing mechanism, Phys. Rev. B 56, pp. 15215-15223.
15. A. Shnirman and G. Schön (1998), Quantum measurements performed with a single-electron transistor, Phys. Rev. B 57, pp. 15400-15407; Y. Makhlin, G. Schön, and A. Shnirman (1998), Josephson-junction qubits and the readout process by single-electron transistors, cond-mat/9811029.
16. A. Shnirman and G. Schön (1998), Quantum measurements performed with a single-electron transistor, Phys. Rev. B 57, pp. 15400-15407; Y. Makhlin, G. Schön, and A. Shnirman (1998), Josephson-junction qubits and the readout process by single-electron transistors, cond-mat/9811029.
17. S. A. Gurvitz (1998), Dephasing and collapse in continuous measurement of a single system, quant-ph/9808058.
18. Y. Makhlin, G. Schön, and A. Shnirman (2000), Statistics and noise in a quantum measurement process, Phys. Rev. Lett. 85, pp. 4578-4581.
19. Y. Makhlin, G. Schön, and A. Shnirman (2001), Quantum-state engineering with Josephson-junction devices, Rev. Mod. Phys. 73, pp. 357-400.
20. H. M. Wiseman(1996), Quantum trajectories and quantum measurement theory, Quantum Semiclass. Opt. 8, pp. 205-222.
21. H.-S. Goan (2002), unpublished.
22. Y. Nakamura, Yu. A. Pashkin, and J. S. Tsai (1999), Coherent control of macroscopic quantum states in a single-Cooper-pair box, Nature 398, pp. 786-788; Y. Nakamura, Yu. A. Pashkin, T. Yamamoto and J. S. Tsai (2002), Charge echo in a Cooper-pair box, Phys. Rev. Lett. 88, 047901.
23. Y. Nakamura, Yu. A. Pashkin, and J. S. Tsai (1999), Coherent control of macroscopic quantum states in a single-Cooper-pair box, Nature 398, pp. 786-788; Y. Nakamura, Yu. A. Pashkin, T. Yamamoto and J. S. Tsai (2002), Charge echo in a Cooper-pair box, Phys. Rev. Lett. 88, 047901.
24. A. Aassime, G. Johansson, G. Wendin, R.J. Schoelkopf, and P. Delsing (2001), Radio-frequency single-electron transistor as readout device for qubits: Charge sensitivity and backaction, Phys. Rev. Lett. 86, pp. 3376-3379.
25. G. Johansson, A. Käck and G. Wendin (2002), Full frequency back-action spectrum of a single-electron transistor during qubit readout, Phys. Rev. Lett. 88, 046802.
26. See, e.g., D. F. Walls and G. J. Milburn (1994), Quantum Optics (Springer, Berlin), chapter 15.
27. A. G. White, D. F. V. James, P. H. Eberhard, and P. G. Kwiat (1999), Nonmaximally entangled states: Production, characterization, and utilization, Phys. Rev. Lett. 83, 3103-3107; D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White (2001), Measurement of qubits, Phys. Rev. A 64, 052312.
28. A. G. White, D. F. V. James, P. H. Eberhard, and P. G. Kwiat (1999), Nonmaximally entangled states: Production, characterization, and utilization, Phys. Rev. Lett. 83, 3103-3107; D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White (2001), Measurement of qubits, Phys. Rev. A 64, 052312.
29. C. H. Crouch, C. Livermore, R. M. Westervelt, K. L. Campman, and A. C. Gossard (1997), Evolution of the Coulomb gap in tunnel-coupled quantum dots, Appl. Phys. Lett. 71, pp. 817-819.
30. F. R. Waugh, M. J. Berry, D. J. Mar, R. M. Westervelt, K. L. Campman, and A. C. Gossard (1995), Single-electron charging in double and triple quantum dots with tunable coupling, Phys. Rev. Lett. 75, pp. 705-708.
31. T. H. Oosterkamp, T. Fujisawa, W. G. van der Wiel, K. Ishibashi, R. V. Hijman, S. Tarucha and L. P. Kouwenhoven (1998), Microwave spectroscopy of a quantum-dot molecule, Nature 395, pp. 873-876.
32. T. Fujisawa, W. G. van der Wiel, and L. P. Kouwenhoven (2000), Inelastic tunneling in a double quantum dot coupled to a bosonic environment, Physica E 7, pp. 413-419.
33. W. G. van der Wiel, T. Fujisawa, S. Tarucha and L. P. Kouwenhoven (2001), A double quantum dot as an artificial two-level system, Jpn. J. Appl. Phys. 40, pp. 2100-2104.
34. E. Buks, R. Schuster, M. Heiblum, D. Mahalu, and V. Umansky (1998), Dephasing in electron interference by a "which-path" detector, Nature 391, pp. 871-874.