|
| related topics |
| {state, states, entangled} |
| {let, theorem, proof} |
| {bell, inequality, local} |
| {states, state, optimal} |
| {classical, space, random} |
| {measurement, state, measurements} |
| {vol, operators, histories} |
| {qubit, qubits, gate} |
| {group, space, representation} |
| {operator, operators, space} |
| {temperature, thermal, energy} |
| {algorithm, log, probability} |
| {observables, space, algebra} |
| {key, protocol, security} |
|
Compatibility of subsystem states
Paul Butterley, Anthony Sudbery, Jason Szulc
abstract: We examine the possible states of subsystems of a system of bits or qubits.
In the classical case (bits), this means the possible marginal distributions of
a probability distribution on a finite number of binary variables; we give
necessary and sufficient conditions for a set of probability distributions on
all proper subsets of the variables to be the marginals of a single
distribution on the full set. In the quantum case (qubits), we consider mixed
states of subsets of a set of qubits; in the case of three qubits, we find
quantum Bell inequalities -- necessary conditions for a set of two-qubit states
to be the reduced states of a single mixed state of three qubits. We conjecture
that these conditions are also sufficient.
- oai_identifier:
- oai:arXiv.org:quant-ph/0407227
- categories:
- quant-ph
- comments:
- 19 pages, LaTeX. In memoriam Asher Peres. Substantial revision: one
theorem removed, one author added
- arxiv_id:
- quant-ph/0407227
- journal_ref:
- Found. Phys. 36, 83-101 (2006)
- created:
- 2004-07-28
- updated:
- 2005-04-22
Full article ▸
|
|
| related documents |
| 0407179v1 |
| 0409140v1 |
| 0510237v1 |
| 0404051v4 |
| 0608012v2 |
| 0510078v3 |
| 0307023v2 |
| 0311051v1 |
| 0107111v2 |
| 0302075v1 |
| 0607190v1 |
| 0508071v3 |
| 0109102v1 |
| 0412220v2 |
| 9908050v1 |
| 0509195v1 |
| 0401129v2 |
| 0509218v1 |
| 0511116v2 |
| 0604123v2 |
| 0502082v3 |
| 0512100v1 |
| 0004051v2 |
| 0606017v1 |
| 0202041v3 |
|