|
| related topics |
| {classical, space, random} |
| {entanglement, phys, rev} |
| {operator, operators, space} |
| {qubit, qubits, gate} |
| {algorithm, log, probability} |
| {information, entropy, channel} |
| {spin, pulse, spins} |
|
Entangling power of baker's map: Role of symmetries
Romulo F. Abreu, Raul O. Vallejos
abstract: The quantum baker map possesses two symmetries: a canonical "spatial"
symmetry, and a time-reversal symmetry. We show that, even when these features
are taken into account, the asymptotic entangling power of the baker's map does
not always agree with the predictions of random matrix theory. We have verified
that the dimension of the Hilbert space is the crucial parameter which
determines whether the entangling properties of the baker are universal or not.
For power-of-two dimensions, i.e., qubit systems, an anomalous entangling power
is observed; otherwise the behavior of the baker is consistent with random
matrix theories. We also derive a general formula that relates the asymptotic
entangling power of an arbitrary unitary with properties of its reduced
eigenvectors.
- oai_identifier:
- oai:arXiv.org:quant-ph/0603261
- categories:
- quant-ph
- comments:
- 5 pages
- doi:
- 10.1103/PhysRevA.73.052327
- arxiv_id:
- quant-ph/0603261
- created:
- 2006-03-28
- updated:
- 2006-03-28
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