|
related topics |
{information, entropy, channel} |
{vol, operators, histories} |
{state, states, entangled} |
{error, code, errors} |
{theory, mechanics, state} |
{states, state, optimal} |
{entanglement, phys, rev} |
{observables, space, algebra} |
{time, decoherence, evolution} |
{particle, mechanics, theory} |
{let, theorem, proof} |
{key, protocol, security} |
{operator, operators, space} |
{measurement, state, measurements} |
{qubit, qubits, gate} |
{state, phys, rev} |
|
Channel kets, entangled states, and the location of quantum information
Robert B. Griffiths
abstract: The well-known duality relating entangled states and noisy quantum channels
is expressed in terms of a channel ket, a pure state on a suitable tripartite
system, which functions as a pre-probability allowing the calculation of
statistical correlations between, for example, the entrance and exit of a
channel, once a framework has been chosen so as to allow a consistent set of
probabilities. In each framework the standard notions of ordinary (classical)
information theory apply, and it makes sense to ask whether information of a
particular sort about one system is or is not present in another system.
Quantum effects arise when a single pre-probability is used to compute
statistical correlations in different incompatible frameworks, and various
constraints on the presence and absence of different kinds of information are
expressed in a set of all-or-nothing theorems which generalize or give a
precise meaning to the concept of ``no-cloning.'' These theorems are used to
discuss: the location of information in quantum channels modeled using a
mixed-state environment; the $CQ$ (classical-quantum) channels introduced by
Holevo; and the location of information in the physical carriers of a quantum
code. It is proposed that both channel and entanglement problems be classified
in terms of pure states (functioning as pre-probabilities) on systems of $p\geq
2$ parts, with mixed bipartite entanglement and simple noisy channels belonging
to the category $p=3$, a five-qubit code to the category $p=6$, etc.; then by
the dimensions of the Hilbert spaces of the component parts, along with other
criteria yet to be determined.
- oai_identifier:
- oai:arXiv.org:quant-ph/0409106
- categories:
- quant-ph
- comments:
- Latex 32 pages, 4 figures in text using PSTricks. Version 3: Minor
typographical errors corrected
- doi:
- 10.1103/PhysRevA.71.042337
- arxiv_id:
- quant-ph/0409106
- journal_ref:
- Phys. Rev. A 71 (2005) 042337
- created:
- 2004-09-16
- updated:
- 2005-05-26
Full article ▸
|
|
related documents |
0405149v1 |
0306196v2 |
0401187v3 |
0409207v3 |
0412006v2 |
0509016v2 |
0505180v1 |
0412157v1 |
0608074v3 |
0412024v1 |
0702059v3 |
0511219v3 |
0604091v1 |
0511217v1 |
0506197v3 |
0701149v3 |
0511171v1 |
0601162v1 |
0611070v1 |
0507136v1 |
0611058v2 |
0508106v1 |
0409187v1 |
0508071v3 |
0509195v1 |
|