|
| related topics |
| {vol, operators, histories} |
| {classical, space, random} |
| {information, entropy, channel} |
| {time, decoherence, evolution} |
| {key, protocol, security} |
| {algorithm, log, probability} |
| {qubit, qubits, gate} |
| {energy, gaussian, time} |
|
Decoherence and linear entropy increase in the quantum baker's map
Andrei N. Soklakov, Ruediger Schack
abstract: We show that the coarse-grained quantum baker's map exhibits a linear entropy
increase at an asymptotic rate given by the Kolmogorov-Sinai entropy of the
classical chaotic baker's map. The starting point of our analysis is a symbolic
representation of the map on a string of $N$ qubits, i.e., an $N$-bit register
of a quantum computer. To coarse-grain the quantum evolution, we make use of
the decoherent histories formalism. As a byproduct, we show that the condition
of medium decoherence holds asymptotically for the coarse-grained quantum
baker's map.
- oai_identifier:
- oai:arXiv.org:quant-ph/0107071
- categories:
- quant-ph
- comments:
- 7 pages, LaTex
- doi:
- 10.1103/PhysRevE.66.036212
- arxiv_id:
- quant-ph/0107071
- journal_ref:
- Phys. Rev. E 66, 036212 (2002)
- created:
- 2001-07-13
Full article ▸
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