|
| related topics |
| {error, code, errors} |
| {classical, space, random} |
| {qubit, qubits, gate} |
| {state, states, entangled} |
| {alice, bob, state} |
| {operator, operators, space} |
| {information, entropy, channel} |
| {theory, mechanics, state} |
| {phase, path, phys} |
| {states, state, optimal} |
| {cos, sin, state} |
| {key, protocol, security} |
| {time, decoherence, evolution} |
|
Conditional Quantum Walk and Iterated Quantum Games
G. Abal, R. Donangelo, H. Fort
abstract: Iterated bipartite quantum games are implemented in terms of the
discrete-time quantum walk on the line. Our proposal allows for conditional
strategies, as two rational agents make a choice from a restricted set of
two-qubit unitary operations. Several frequently used classical strategies give
rise to families of corresponding quantum strategies. A quantum version of the
Prisoner's Dilemma in which both players use mixed strategies is presented as a
specific example. Since there are now quantum walk physical implementations at
a proof-of principle stage, this connection may represent a step towards the
experimental realization of quantum games.
- oai_identifier:
- oai:arXiv.org:quant-ph/0607143
- categories:
- quant-ph
- comments:
- Revtex 4, 6 pages, 3 figures. Expanded version with one more figure
and updated references. Abstract was rewritten
- doi:
- 10.1016/j.physa.2008.04.036
- arxiv_id:
- quant-ph/0607143
- journal_ref:
- Physica A, 387, pp 5326-5332, 2008.
- created:
- 2006-07-20
- updated:
- 2007-03-16
Full article ▸
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