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Quantum Error Correction Via Codes Over GF(4)

- A. Calderbank, E. Rains, P. Shor, N. Sloane
- Mathematics, Computer Science
- IEEE Trans. Inf. Theory
- 6 August 1996

TLDR

Quantum error correction via codes over GF(4)

- A. Calderbank, E. Rains, P. Shor, N. Sloane
- Proceedings of IEEE International Symposium on…
- 1997

The unreasonable effectiveness of quantum computing is founded on coherent quantum superposition or entanglement which allows a large number of calculations to be performed simultaneously. This… Expand

Quantum Error Correction and Orthogonal Geometry

- A. Calderbank, E. Rains, P. Shor, N. J. A. S. A. Research, Institute for Defense Analysis
- Physics
- 9 May 1996

A group theoretic framework is introduced that simplifies the description of known quantum error-correcting codes and greatly facilitates the construction of new examples. Codes are given which map 3… Expand

Self-Dual Codes

A survey of self-dual codes, written for the Handbook of Coding Theory. Self-dual codes are important because many of the best codes known are of this type and they have a rich mathematical theory.… Expand

Algebraic aspects of increasing subsequences

We present a number of results relating partial Cauchy-Littlewood sums, integrals over the compact classical groups, and increasing subsequences of permutations. These include: integral formulae for… Expand

Quantum nonlocality without entanglement

- C. H. Bennett, D. DiVincenzo, +9 authors Williams
- Physics
- 22 April 1998

We exhibit an orthogonal set of product states of two three-state particles that nevertheless cannot be reliably distinguished by a pair of separated observers ignorant of which of the states has… Expand

Nonbinary quantum codes

- E. Rains
- Mathematics, Physics
- IEEE Trans. Inf. Theory
- 25 March 1997

TLDR

A logarithmic-depth quantum carry-lookahead adder

- Thomas G. Draper, S. Kutin, E. Rains, K. Svore
- Mathematics, Computer Science
- Quantum Inf. Comput.
- 20 June 2004

TLDR

Limiting Distributions for a Polynuclear Growth Model with External Sources

The purpose of this paper is to investigate the limiting distribution functions for a polynuclear growth model with two external sources which was considered by Prähofer and Spohn. Depending on the… Expand

Transformations of elliptic hypergeometric integrals

- E. Rains
- Mathematics
- 17 March 2010

We prove a pair of transformations relating elliptic hypergeometric integrals of different dimensions, corresponding to the root systems BC_n and A_n; as a special case, we recover some integral… Expand

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