|
| related topics |
| {information, entropy, channel} |
| {states, state, optimal} |
| {qubit, qubits, gate} |
| {cos, sin, state} |
| {let, theorem, proof} |
| {time, decoherence, evolution} |
| {entanglement, phys, rev} |
| {group, space, representation} |
| {state, states, entangled} |
|
Simulating a single qubit channel using a mixed state environment
Geetu Narang
abstract: We analyze the class of single qubit channels with the environment modeled by
a one-qubit mixed state. The set of affine transformations for this class of
channels is computed analytically, employing the canonical form for the
two-qubit unitary operator. We demonstrate that, 3/8 of the generalized
depolarizing channels can be simulated by the one-qubit mixed state environment
by explicitly obtaining the shape of the volume occupied by this class of
channels within the tetrahedron representing the generalized depolarizing
channels. Further, as a special case, we show that the two-Pauli Channel cannot
be simulated by a one-qubit mixed state environment.
- oai_identifier:
- oai:arXiv.org:quant-ph/0611058
- categories:
- quant-ph
- comments:
- Published version with minor changes
- arxiv_id:
- quant-ph/0611058
- journal_ref:
- Phys. Rev. A 75, 032305 (2007)
- created:
- 2006-11-06
- updated:
- 2007-03-06
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