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Good quantum error correcting codes exist
 REV. A
, 1996
"... A quantum errorcorrecting code is defined to be a unitary mapping (encoding) of k qubits (2state quantum systems) into a subspace of the quantum state space of n qubits such that if any t of the qubits undergo arbitrary decoherence, not necessarily independently, the resulting n qubits can be used ..."
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Cited by 349 (9 self)
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A quantum errorcorrecting code is defined to be a unitary mapping (encoding) of k qubits (2state quantum systems) into a subspace of the quantum state space of n qubits such that if any t of the qubits undergo arbitrary decoherence, not necessarily independently, the resulting n qubits can
Introduction to quantum error correction
, 1998
"... An introduction to quantum error correction (QEC) is given, and some recent developments ..."
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Cited by 15 (0 self)
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An introduction to quantum error correction (QEC) is given, and some recent developments
Quantum Error Correction Via Codes Over GF(4)
, 1997
"... The problem of finding quantumerrorcorrecting codes is transformed into the problem of finding additive codes over the field GF(4) which are selforthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds on s ..."
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Cited by 304 (18 self)
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The problem of finding quantumerrorcorrecting codes is transformed into the problem of finding additive codes over the field GF(4) which are selforthogonal with respect to a certain trace inner product. Many new codes and new bounds are presented, as well as a table of upper and lower bounds
An Introduction to Quantum Error Correction
 Quantum Computation: A Grand Mathematical Challenge for the TwentyFirst Century and the Millennium, pages 221–235, Rhode Island, 2002. American Mathematical Society. eprint: quantph/0004072
, 2002
"... Abstract. Quantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliable quantum computers. The theory of quantum errorcorrecting codes has some close ties to and some ..."
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Cited by 14 (0 self)
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Abstract. Quantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliable quantum computers. The theory of quantum errorcorrecting codes has some close ties to and some
Operator quantum error correction
 Quantum Information & Computation
, 2005
"... Abstract. This paper is an expanded and more detailed version of the work [1] in which the Operator Quantum Error Correction protocol was introduced. This is a new scheme for the error correction of quantum operations that incorporates the known techniques — i.e. the standard error correction model, ..."
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Cited by 46 (3 self)
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Abstract. This paper is an expanded and more detailed version of the work [1] in which the Operator Quantum Error Correction protocol was introduced. This is a new scheme for the error correction of quantum operations that incorporates the known techniques — i.e. the standard error correction model
Approximate quantum error correction
, 2008
"... The errors that arise in a quantum channel can be corrected perfectly if and only if the channel does not decrease the coherent information of the input state. We show that, if the loss of coherent information is small, then approximate quantum error correction is possible. ..."
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Cited by 16 (0 self)
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The errors that arise in a quantum channel can be corrected perfectly if and only if the channel does not decrease the coherent information of the input state. We show that, if the loss of coherent information is small, then approximate quantum error correction is possible.
Quantum Error Correction
, 1998
"... An introduction to formalism of quantum computation and to the theory of quantum errorcorrecting codes is presented. Errorcorrection schemes due to Shor and Calderbank are also represented. TUCS Research Group ..."
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Cited by 1 (0 self)
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An introduction to formalism of quantum computation and to the theory of quantum errorcorrecting codes is presented. Errorcorrection schemes due to Shor and Calderbank are also represented. TUCS Research Group
Quantum Error Correcting Codes and
, 2008
"... To V. S. Varadarajan on his 70th birthday with affection and admiration Abstract This is mainly an expository account of the general theory of quantum error correcting codes exploiting the commutation relations between the Weyl operators associated with a finite additive abelian group. There are som ..."
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To V. S. Varadarajan on his 70th birthday with affection and admiration Abstract This is mainly an expository account of the general theory of quantum error correcting codes exploiting the commutation relations between the Weyl operators associated with a finite additive abelian group
Quantum Error Correction Codes
 SPRING 2005: EE229B ERROR CONTROL CODING
, 2005
"... This report contains the comprehensive explanation of some most important quantum error correction codes. After the brief corroboration of the quantum mechanical principles that govern any quantum mechanical process, we introduce stabilizer formalism and stabilizer codes for quantum error correction ..."
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This report contains the comprehensive explanation of some most important quantum error correction codes. After the brief corroboration of the quantum mechanical principles that govern any quantum mechanical process, we introduce stabilizer formalism and stabilizer codes for quantum error
Results 1  10
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68,178