|
| related topics |
| {state, states, entangled} |
| {qubit, qubits, gate} |
| {state, phys, rev} |
| {alice, bob, state} |
| {information, entropy, channel} |
| {states, state, optimal} |
| {measurement, state, measurements} |
| {cos, sin, state} |
| {trap, ion, state} |
|
Non-local Operations: Purification, storage, compression, tomography,
and probabilistic implementation
W. Dür, J. I. Cirac
abstract: We provide several applications of a previously introduced isomorphism
between physical operations acting on two systems and entangled states [1]. We
show: (i) how to implement (weakly) non-local two qubit unitary operations with
a small amount of entanglement; (ii) that a known, noisy, non-local unitary
operation as well as an unknown, noisy, local unitary operation can be
purified; (iii) how to perform the tomography of arbitrary, unknown, non-local
operations; (iv) that a set of local unitary operations as well as a set of
non-local unitary operations can be stored and compressed; (v) how to implement
probabilistically two-qubit gates for photons. We also show how to compress a
set of bipartite entangled states locally, as well as how to implement certain
non-local measurements using a small amount of entanglement. Finally, we
generalize some of our results to multiparty systems.
- oai_identifier:
- oai:arXiv.org:quant-ph/0012148
- categories:
- quant-ph
- comments:
- 15 pages, no figures
- doi:
- 10.1103/PhysRevA.64.012317
- arxiv_id:
- quant-ph/0012148
- journal_ref:
- Phys. Rev. A 64, 012317 (2001)
- created:
- 2000-12-29
Full article ▸
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