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Title: US6128764: Quantum error-correcting codes and devices
[ Derwent Title ]


Country: US United States of America

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12 pages

 
Inventor: Gottesman, Daniel; Los Alamos, NM

Assignee: California Institute of Technology, Pasadena, CA
other patents from CALIFORNIA INSTITUTE OF TECHNOLOGY (84480) (approx. 1,398)
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Published / Filed: 2000-10-03 / 1998-02-06

Application Number: US1998000019149

IPC Code: Advanced: G06N 99/00; H03M 13/00;
IPC-7: H03M 13/00;

ECLA Code: G06N99/00K; B82Y10/00;

U.S. Class: Current: 714/785;
Original: 714/785; 714/785;

Field of Search: 380/004 714/785

Government Interest:

STATEMENT AS TO FEDERALLY SPONSORED RESEARCH
    The U.S. Government has certain rights in this invention pursuant to Grant No. DE-FG03-92-ER40701 awarded by the Department of Energy.

Priority Number:
1997-07-03  US1998000019149
1997-02-06  US1997000037444P

Abstract:     A method of forming quantum error-correcting codes by first forming a stabilizer for a Hilbert space. A quantum information processing device can be formed to implement such quantum codes.

Attorney, Agent or Firm: Fish & Richardson P.C. ;

Primary / Asst. Examiners: De Cady, Albert; Chase, Shelly A

INPADOC Legal Status: Show legal status actions

Parent Case:     This application claims the benefit of U.S. Provisional Application No. 60/037,444 filed on Feb. 6, 1997, which is incorporated herein by reference.

Family: None

First Claim:
Show all 19 claims
What is claimed is:     1. A method of forming a quantum error-correcting code for a quantum information processing system, comprising:
  • selecting quantum basis operators operable to act upon quantum states in a specified space and to represent an arbitrary operator which is applicable to said specified space;
  • determining error syndromes indicative of errors caused by operations and perturbations on any of said quantum states in said specified space, wherein said operation and perturbations can be represented by combinations of said basis operators;
  • forming a plurality of stabilizer operators for a coding subspace of said specified space according to said error syndromes in such a way that said stabilizer operators are operable to detect and correct said errors, wherein said stabilizer operators commute with one another and an eigen value of a square of each of said stabilizer operators in said specified space is +1; and
  • constructing code words in said coding subspace by using said stabilizer operators to operate on a plurality of selected states.


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Forward References: Show 32 U.S. patent(s) that reference this one

       
U.S. References: Go to Result Set: All U.S. references   |  Forward references (32)   |   Backward references (1)   |   Citation Link

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Patent  Pub.Date  Inventor Assignee   Title
Get PDF - 15pp US5768297  1998-06 Shor  Lucent Technologies Inc. Method for reducing decoherence in quantum computer memory
       
Foreign References: None

Other Abstract Info: DERABS G2000-628008 DERABS G2000-628008

Other References:
  • Schulman, L. S., Bounds On Decoherence and Error, Phusics Department, Clarkson University, pp. 1-10, Jan. 23, 1997.
  • Bennett et al., Mixed-States entanglement and quantum error correction, pp. 3824-3851, Nov. 1996. (28 pages) Cited by 5 patents [ISI abstract]
  • Steane, Andrew, Multiple Particle Interference and Quantum Error Correction, Clarendon Laboratory, Parks Road, Oxford, OX1 3PU, England, pp. 1 to 45, May 13, 1996.
  • Shor, W.P. et al., Qyantum Error-Correcting Codes Need not Completely Reveal the Error Syndrome, University of Califorina at Los Angeles, pp. 1 to 13, 1995.
  • Shor, Peter W., Fault-Tolerant Quantum Computation, IEEE, pp. 56 to 65, 1996.
  • Yao, Andrew, Department of Computer Science, Princeton University, IEEE, pp. 352 to 361, 1993.
  • American Association For the Advancement of Science, Science, vol. 275, pp. 350-356, Jan. 17, 1997, "Bulk Spin-Resonance Quantam Computation", Neil A. Gerenfeld and Isaas L. Chuang. (7 pages) Cited by 6 patents [ISI abstract]
  • Cirac, J.I., et al., "Quantum Computations with Cold Trapped Ions," Physical Review Letters, vol. 74, No. 20, pp. 4091-4094, May 15, 1995. (4 pages) Cited by 9 patents [ISI abstract]
  • Shor, P.W., "Scheme for reducing decoherence in quantum computer memory," Physical Review A: Atomic. Molecular, and Optical Physics, vol. 52, No. 4, pp. R2493-R2496, Oct. 1995. (4 pages) Cited by 2 patents [ISI abstract]
  • Monroe, C., et al., "Demonstration of a Fundamental Quantum Logic Gate," Physical Review Letters, vol. 75, No. 25, pp. 4714-4717, Dec. 18, 1995. (4 pages) Cited by 5 patents [ISI abstract]
  • Turchette, Q.A., et al, "Measurement of Conditional Phase Shifts for Quantum Logic,"Physical Review Letters, vol. 75, No. 25, pp. 4710-4713, Dec. 18, 1995. (4 pages) Cited by 6 patents [ISI abstract]
  • Steane, A.M., "Error Correcting Codes in Quantum Theory," Physical Review Letters, vol. 77, No. 5, pp. 793-797, Jul. 29, 1996. (5 pages) Cited by 2 patents [ISI abstract]
  • Muller, A., et al., "Plug and play' systems for quantum cryptography," Appl. Phys. Lett., vol. 70, No. 7, Feb. 17, 1997.


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