References for Physics 229
Quantum Information and Computation


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Contents

Quantum information theory
Quantum entanglement
Quantum gates
Quantum algorithms
Quantum error-correcting codes
The quantum channel capacity
Fault-tolerant quantum computation


Quantum information theory

B. Schumacher, ``Quantum coding.''

R. Jozsa and B. Schumacher, ``A new proof of the quantum noiseless coding theorem.''

B. Schumacher, M. Westmoreland, and W. Wootters, ``Limitation on the amount of accessible information in a quantum channel.''

P. Hausladen, B. Schumacher, M. Westmoreland, and W. Wootters, ``Classical information capacity of a quantum channel.''

A. S. Holevo, ``The capacity of the quantum channel with general signal states,'' quant-ph/9611023.

C. A. Fuchs, ``Nonorthogonal quantum states maximize classical information capacity,'' quant-ph/9703043.

C. H. Bennett, C. A. Fuchs, and J. A. Smolin, Entanglement-enhanced classical communication on a noisy quantum channel,'' quant-ph/9611006.

C. A. Fuchs, ``Distinguishability and accessible information in quantum theory,'' quant-ph/9601020.


Quantum entanglement

C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, ``Concentrating partial entanglement by local operations,'' quant-ph/9511030.

S. Popescu, ``Bell inequalities and density matrices: revealing hidden nonlocality,'' quant-ph/9502005.

C. Bennett, D. DiVincenzo, J. Smolin, and W. Wooters, ``Mixed state entanglement and quantum error correction,'' quant-ph/9604024.

A. Peres, ``Separability criterion for density matrices,'' quant-ph/9604005.

M. Horodecki, P. Horodecki, and R. Horodecki, ``Separability of mixed states: necessary and sufficient conditions,'' quant-ph/9605038.

S. Hill and W. K. Wootters, ``Entanglement of a pair of quantum bits,'' quant-ph/9703041.

V. Vedral and M. B. Plenio, ''Entanglement measures and purification procedures,'' quant-ph/9707035.


Quantum gates

D. Deutsch, A. Barenco, and A. Ekert, ``Universality in quantum computation,'' quant-ph/9505018.

A. Barenco et al., ``Elementary gates for quantum computation,'' quant-ph/9503016.


Quantum algorithms

P. Shor, ``Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,'' quant-ph/9508027.

D. Beckman, A. Chari, S. Devabhaktuni, and J. Preskill, ``Efficient networks for quantum factoring,'' quant-ph/9602016.

L. Grover, ``Quantum mechanics helps in searching for a needle in a haystack,'' quant-ph/9706033.

M. Boyer, G. Brassard, and P. Hoyer, ``Tight bounds on quantum searching,'' quant-ph/9605034.

C. H. Bennett, E. Bernstein, G. Brassard, and U. Vazirani, ``Strengths and weaknesses of quantum computing,'' quant-ph/9701001.

A. Yu. Kitaev, ``Quantum measurements and the abelian stabilizer problem,'' quant-ph/9511026.


Quantum error-correcting codes

P. Shor, ``Scheme for reducing decoherence in quantum memory''

A. Calderbank and P. Shor, ``Good quantum error-correcting codes exist,'' quant-ph/9512032.

A. Steane, ``Multiple particle interference and quantum error correction,'' quant-ph/9601029.

E. Knill and R. Laflamme, ``A theory of quantum error-correcting codes,'' quant-ph/9604034.

D. Gottesman, ``A class of quantum error-correcting codes saturating the quantum Hamming bound,'' quant-ph/9604038.

A. Calderbank, E. Rains, P. Shor, and N. Sloan, ``Quantum error correction and orthogonal geometry,'' quant-ph/9608006.

A. Calderbank, E. Rains, P. Shor, and N. Sloan, ``Quantum error correction via codes over GF(4),'' quant-ph/9605005.

D. Gottesman, ``Stabilizer codes and quantum error correction,'' quant-ph/9705052.


The quantum channel capacity

C. Bennett, D. DiVincenzo, J. Smolin, and W. Wooters, ``Mixed state entanglement and quantum error correction,'' quant-ph/9604024.

S. Lloyd, ``The capacity of the noisy quantum channel,'' quant-ph/9604015.

B. Schumacher, ``Sending quantum entanglement through noisy channels,'' quant-ph/9604023

B. Schumacher and M. Nielsen, ``Quantum data processing and error correction,'' quant-ph/9604022.

P. Shor and J. Smolin, ``Quantum error-correcting codes need not completely reveal the error syndrome,'' quant-ph/9604006.

H. Barnum, M. A. Nielsen, and B. Schumacher, ``Information transmission through a noisy quantum channel,'' quant-ph/9702049

C. H. Bennett, D. P. DiVincenzo, and J. A. Smolin, ``Capacities of quantum erasure channels,'' quant-ph/9701015.


Fault-tolerant quantum computation

P. Shor, ``Fault-tolerant quantum computation,'' quant-ph/9605011.

A. M. Steane, ``Active stabilization, quantum computation and quantum state synthesis,'' quant-ph/9611027.

D. Gottesman, ``A theory of fault-tolerant quantum computation,'' quant-ph/9702029.

E. Knill and R. Laflamme, ``Concatenated quantum codes,'' quant-ph/9608012.

E. Knill, R. Laflamme, and W. Zurek, ``Accuracy threshold for quantum computation,'' quant-ph/9610001.

E. Knill, R. Laflamme, and W. Zurek, ``Resilient quantum computation: error models and thresholds,'' quant-ph/9702058.

D. Aharonov and M. Ben-Or, ``Fault-tolerant quantum computation with constant error,'' quant-ph/9611025.

C. Zalka, ``Threshold estimate for fault-tolerant quantum computing,'' quant-ph/9612028.

J. Preskill, ``Reliable quantum computers,'' quant-ph/9705031.

A. Yu. Kitaev, ``Fault-tolerant quantum computation by anyons,'' quant-ph/9707021.


preskill@theory.caltech.edu