|
| related topics |
| {classical, space, random} |
| {qubit, qubits, gate} |
| {time, decoherence, evolution} |
| {group, space, representation} |
| {states, state, optimal} |
| {entanglement, phys, rev} |
| {information, entropy, channel} |
| {operator, operators, space} |
| {state, states, coherent} |
| {error, code, errors} |
| {state, states, entangled} |
|
Quantum baker maps with controlled-NOT coupling
Raul O. Vallejos, P. R. del Santoro, A. M. Ozorio de Almeida
abstract: The characteristic stretching and squeezing of chaotic motion is linearized
within the finite number of phase space domains which subdivide a classical
baker map. Tensor products of such maps are also chaotic, but a more
interesting generalized baker map arises if the stacking orders for the factor
maps are allowed to interact. These maps are readily quantized, in such a way
that the stacking interaction is entirely attributed to primary qubits in each
map, if each subsystem has power-of-two Hilbert space dimension. We here study
the particular example of two baker maps that interact via a controlled-not
interaction. Numerical evidence indicates that the control subspace becomes an
ideal Markovian environment for the target map in the limit of large Hilbert
space dimension.
- oai_identifier:
- oai:arXiv.org:quant-ph/0603212
- categories:
- quant-ph
- comments:
- 8 pages
- doi:
- 10.1088/0305-4470/39/18/028
- arxiv_id:
- quant-ph/0603212
- created:
- 2006-03-23
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