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Quantum Communication, Computing, and Measurement by A. S. Holevo, C. M. Caves, H. P. Yuen, L. Accardi (auth.),

By A. S. Holevo, C. M. Caves, H. P. Yuen, L. Accardi (auth.), O. Hirota, A. S. Holevo, C. M. Caves (eds.)

This quantity includes the lawsuits of the 3rd overseas convention on Quantum verbal exchange and size. The sequence of overseas meetings on quantum conversation and dimension used to be confirmed to inspire scientists operating within the interdisciplinary study fields of quantum verbal exchange technological know-how and know-how. the 1st such convention, geared up by way of C. Benjaballah and O. Hirota less than the identify "Quantum facets of Optical Communication," assembled nearly eighty researchers in Paris in 1990. the second one convention, held in Nottingham in 1994, was once equipped through V. P. Belavkin, R. L. Hudson, and O. Hirota and attracted approximately one hundred thirty members from 22 international locations. the current convention, equipped by way of O. Hirota, A. S. Holevo, C. M. Caves, H. P. Yuen, and L. Accardi, was once heldSeptember 25-30, 1996, in Fuji-Hakone Land, Japan, andjnvolved approximately one hundred twenty researchers from 15 nations. the subjects at this 3rd convention incorporated the principles of quantum communi­ cation and data conception, quantum dimension idea, quantum cryptography and quantum computation, quantum units and high-precision measurements, gener­ ation of nonclassical gentle, and atom optics. exact emphasis used to be put on bringing jointly examine employees in experimental and engineering fields of quantum commu­ nication and quantum computing and theoreticians operating in quantum size and knowledge concept. Nineteen plenary and parallel periods and one poster ses­ sion have been prepared, at which a complete of eighty two papers have been awarded. fascinating and stimulating medical discussions came about among and after classes in addition to within the evenings.

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25] R. Jozsa, "Fidelity for mixed quantum states", J. Mod. Opt. 41, 2315 (1994). [26] N. Gisin, Phys. LettA 210, 151 (1996). H. P. DiVincenzo, J. K. Wootters, "Mixed State Entanglement and Quantum Error Correction" Phys. Rev A 54 3824-3851 (1996), footnote 48. [28] N. Gisin, Phys. Lett. A 154,201 (1991). [29] M. Grassl, T. Beth, and T. Pellizzari "Codes for the Quantum Erasure Channel", Report No. quant-ph/9610042 [30] "Quantum Error-Correcting Codes Need not Completely Reveal the Error Syndrome" Report No.

1. INTRODUCTION In quantum communication systems, a transmitter of information sends a receiver one of n possible messages represented by density operators PI, /J2, ... ,Pn with prior probabilities PI, P2, ... ,Pn (2:,1=1 Pj = 1). The receiver, on the other hand, performs a generalized quantum measurement on the received signal to infer the quantum state Pi sent by the transmitter. A generalized quantum measurement is described by a positive operator-valued measure (abbreviated as POM) [1] which is a set of non-negative Hermitian operators, {iII'- I JL E S}, satisfying the relation 2:,I'-ES iII'- = i, where i stands for an identity operator and JL represents an index specifying the measurement outcome and S is a set of the indices of all the possible measurement outcomes.

And the minimum value of the Bayes cost c~Olpt obtained in the signal detection process without thermal noise. The thermal noise effects on signal detection and processes are inevitable in practical communication systems, and obtaining c~Olpt is easier than obtaining [opt and CBopt. Therefore it is important in the quantum communication theory to obtain such upper and lower bounds. To derive the upper of the accessible information and lower bound of the Bayes cost, we use the superoperator representation [10] of quantum states, or equivalently thermofield dynamics [11], which enables us to treat mixed quantum states just like pure quantum states.

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