|
| related topics |
| {error, code, errors} |
| {states, state, optimal} |
| {state, states, coherent} |
| {state, phys, rev} |
| {let, theorem, proof} |
| {time, decoherence, evolution} |
| {temperature, thermal, energy} |
| {qubit, qubits, gate} |
| {photon, photons, single} |
| {vol, operators, histories} |
| {group, space, representation} |
| {cos, sin, state} |
| {algorithm, log, probability} |
| {state, algorithm, problem} |
| {information, entropy, channel} |
| {key, protocol, security} |
| {equation, function, exp} |
|
Bosonic Quantum Codes for Amplitude Damping
I. L. Chuang, Debbie W. Leung, Yoshihisa Yamamoto
abstract: Traditional quantum error correction involves the redundant encoding of k
quantum bits using n quantum bits to allow the detection and correction of any
t bit error. The smallest general t=1 code requires n=5 for k=1. However, the
dominant error process in a physical system is often well known, thus inviting
the question: given a specific error model, can more efficient codes be
devised? We demonstrate new codes which correct just amplitude damping errors
which allow, for example, a t=1, k=1 code using effectively n=4.6. Our scheme
is based on using bosonic states of photons in a finite number of optical
modes. We present necessary and sufficient conditions for the codes, and
describe construction algorithms, physical implementation, and performance
bounds.
- oai_identifier:
- oai:arXiv.org:quant-ph/9610043
- categories:
- quant-ph
- comments:
- 12 pages, 3 figures, psfig, revtex, submitted to Phys. Rev. A
- doi:
- 10.1103/PhysRevA.56.1114
- arxiv_id:
- quant-ph/9610043
- created:
- 1996-10-29
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