|
related topics |
{information, entropy, channel} |
{photon, photons, single} |
{states, state, optimal} |
{entanglement, phys, rev} |
{measurement, state, measurements} |
{time, wave, function} |
{error, code, errors} |
{state, phys, rev} |
{state, states, entangled} |
{force, casimir, field} |
{bell, inequality, local} |
{temperature, thermal, energy} |
{energy, state, states} |
{state, states, coherent} |
{state, algorithm, problem} |
|
Accuracy of quantum-state estimation utilizing Akaike's information
criterion
Koji Usami, Yoshihiro Nambu, Yoshiyuki Tsuda, Keiji Matsumoto, Kazuo Nakamura
abstract: We report our theoretical and experimental investigations into errors in
quantum state estimation, putting a special emphasis on their asymptotic
behavior. Tomographic measurements and maximum likelihood estimation are used
for estimating several kinds of identically prepared quantum states (bi-photon
polarization states) produced via spontaneous parametric down-conversion.
Excess errors in the estimation procedures are eliminated by introducing a new
estimation strategy utilizing Akaike's information criterion. We make a
quantitative comparision between the errors of the experimentally estimated
states and their asymptotic lower bounds, which are derived from the
Cram\'{e}r-Rao inequality. Our results reveal influence of entanglement on the
errors in the estimation. An alternative measurement strategy employing
inseparable measurements is also discussed, and its performance is numerically
explored.
- oai_identifier:
- oai:arXiv.org:quant-ph/0306083
- categories:
- quant-ph
- comments:
- 14 pages, 8 figures, extended version of quant-ph/0209074, to appear
in Phys. Rev. A
- doi:
- 10.1103/PhysRevA.68.022314
- arxiv_id:
- quant-ph/0306083
- journal_ref:
- Phys. Rev. A 68, 022314 (2003)
- created:
- 2003-06-11
Full article ▸
|
|
related documents |
0202119v2 |
9806042v2 |
9905058v3 |
0409207v3 |
9912122v1 |
0412006v2 |
0012128v1 |
0509016v2 |
0306196v2 |
0401187v3 |
0403092v1 |
0412157v1 |
0702059v3 |
0511217v1 |
0702090v1 |
0408004v2 |
0505024v1 |
0610227v1 |
0506197v3 |
0404029v3 |
0511189v2 |
0307162v1 |
0312134v1 |
0310020v1 |
0701149v3 |
|