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The Daily Edge: Simple Strategies to Increase Efficiency and by David Horsager

By David Horsager

Wall highway magazine bestselling writer David Horsager often hears executives lament that their palms are greater than complete attempting to stability the barrage of projects they face each day. whereas he by no means got down to be a productiveness professional, Horsager learned that through the years he has built and followed dozens of terribly sensible time- and energy-saving innovations which may support today's chief. the most important goal is to develop into so powerful within the little issues that you've got adequate time for extra significant interactions.
In The day-by-day area, you'll research options corresponding to picking the foremost Difference-Making activities on which to concentration your efforts. maybe it's time to set a private or maybe company-wide "power hour," within which you don't attend conferences, resolution the telephone, or respond to emails, growing the time and house to truly concentration and get issues performed. The thirty-five high-impact rules Horsager introduces in succinct, quick-read chapters are simply carried out and strong on their lonesome. Taken jointly, they shape a fantastic wave of efficacy that allows you to get extra performed, hold your power up, and ensure that you're capable of honor your whole relationships, either own undefined.

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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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