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Concatenated Quantum Codes (1996)  (Make Corrections)  (7 citations)
E. Knill, R. Laflamme



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Abstract: One of the main problems for the future of practical quantum computing is to stabilize the computation against unwanted interactions with the environment and imperfections in the applied operations. Existing proposals for quantum memories and quantum channels require gates with asymptotically zero error to store or transmit an input quantum state for arbitrarily long times or distances with fixed error. In this report a method is given which has the property that to store or transmit a qubit... (Update)

Context of citations to this paper:   More

...by the sum of all coefficients a i associated with uncorrectable errors. For a mathematically thorough analysis of this problem, see [7, 8]. The essential ideas are as follows. Noise is typically a continuous process affecting all qubits all the time. However, when we...

.... code is particularly easy to understand given the background I have just developed: it is an example of a concatenated quantum code [46], wherein a qubit is encoded with one code (via a partial isometry from the qubit to a two dimensional subspace of the tensor product of n...

Cited by:   More
Quantum Computation - Aharonov (1998)   (Correct)
Quantum Computing and Communication - Black, Kuhn, Williams   (Correct)
Quantum Information Theory - Barnum, III (1998)   (Correct)

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0.4:   Accuracy Threshold for Quantum Computation - Knill, Laflamme, Zurek (1996)   (Correct)
0.3:   Quantum Information Processing: Compression, Coding, and Related.. - Reif (1985)   (Correct)
0.3:   Alternative Computational Models: A Comparison of Biomolecular and .. - Reif (1998)   (Correct)

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0.4:   Group Representations, Error Bases and Quantum Codes - Knill (1996)   (Correct)
0.4:   Fault-Tolerant Quantum Computation With Constant Error - Aharonov, Ben-Or (1997)   (Correct)
0.2:   Assumptions for Fault Tolerant Quantum Computing - Knill, Laflamme (1996)   (Correct)

Related documents from co-citation:   More   All
6:   A Theory of Quantum Error-Correcting Codes - Knill, Laflamme - 1996
5:   Mixed state entanglement and quantum error correction (context) - Bennett, DiVincenzo et al.
5:   Multiple particle interference and quantum error correction (context) - Steane - 1996

BibTeX entry:   (Update)

E. Knill and R. Laflamme. Concatenated quantum codes. In progress, 1996. http://citeseer.ist.psu.edu/knill96concatenated.html   More

@misc{ knill96concatenated,
  author = "E. Knill and R. Laflamme",
  title = "Concatenated quantum codes",
  text = "E. Knill and R. Laflamme. Concatenated quantum codes. In progress, 1996.",
  year = "1996",
  url = "citeseer.ist.psu.edu/knill96concatenated.html" }
Citations (may not include all citations):
47   Mixed state entanglement and quantum error-correcting codes (context) - Bennett, DiVincenzo et al. - 1996
45   Fault-tolerant quantum computation - Shor - 1996
42   Multiple particle interference and quantum error correction (context) - Steane - 1995
36   A theory of quantum error correcting codes - Knill, Laflamme - 1995
28   Scheme for reducing decoherence in quantum computer memory (context) - Shor - 1995
15   Sending entanglement through noisy quantum channels - Schumacher - 1996
12   Fault-tolerant error correction with efficient quantum codes (context) - DiVincenzo, Shor - 1996
8   Perfect quantum error-correcting code (context) - Laflamme, Miquel et al. - 1996
7   Enforcing coherent evolution in dissipative quantum dynamics - Cirac, Pellizzari et al. - 1996
5   Assumptions for fault tolerant quantum computing - Knill, Laflamme - 1996



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://www.c3.lanl.gov/~knill/):   More
On Shor's Quantum Factor Finding Algorithm: Increasing the.. - Knill (1995)   (Correct)
Group Representations, Error Bases and Quantum Codes - Knill (1996)   (Correct)
Group Testing Problems in Experimental Molecular Biology - Knill, Muthukrishnan (1995)   (Correct)

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