dorsal/arxiv
View SchemaOn Estimating the State of a Finite Level Quantum System
| Authors | K. R. Parthasarathy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408069 |
| URL | https://arxiv.org/abs/quant-ph/0408069 |
Abstract
We revisit the problem of mutually unbiased measurements in the context of estimating the unknown state of a $d$-level quantum system, first studied by W. K. Wootters and B. D. fields[7] in 1989 and later investigated by S. Bandyopadhyay et al [3] in 2001 and A. O. Pittenger and M. H. Rubin [6] in 2003. Our approach is based directly on the Weyl operators in the $L^2$-space over a finite field when $d=p^r$ is the power of a prime. When $d$ is not a prime power we sacrifice a bit of optimality and construct a recovery operator for reconstructing the unknown state from the probabilities of elementary events in different measurements.
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"abstract": "We revisit the problem of mutually unbiased measurements in the context of\nestimating the unknown state of a $d$-level quantum system, first studied by W.\nK. Wootters and B. D. fields[7] in 1989 and later investigated by S.\nBandyopadhyay et al [3] in 2001 and A. O. Pittenger and M. H. Rubin [6] in\n2003. Our approach is based directly on the Weyl operators in the $L^2$-space\nover a finite field when $d=p^r$ is the power of a prime. When $d$ is not a\nprime power we sacrifice a bit of optimality and construct a recovery operator\nfor reconstructing the unknown state from the probabilities of elementary\nevents in different measurements.",
"arxiv_id": "quant-ph/0408069",
"authors": [
"K. R. Parthasarathy"
],
"categories": [
"quant-ph"
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"title": "On Estimating the State of a Finite Level Quantum System",
"url": "https://arxiv.org/abs/quant-ph/0408069"
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