D. DiVincenzo, P. Shor, and J. Smolin, "Quantum channel capacities of very noisy channels," Phys. Rev. A, vol. 57, pp. 830--839, 1998. Home/Search Document Not in Database Summary APS Related Articles Check |
This paper is cited in the following contexts:
Quantum Information Theory - Barnum, III (1998) (Correct)
....has arisen in quantum mechanics, depending, for example, on whether the entanglement of a system with some reference system is required to be preserved by the transmission process, or not. Here we concentrate on two notions of quantum capacity, one investigated for example in [48] 51] 50] [60] and concerned with the maximum size of a Hilbert space all of whose pure states can be preserved with high fidelity, and another arising for example in [16] 17] 61] 19] concerned with the maximum entropy of a density operator whose entanglement with a reference system which does not undergo ....
....maximized over input density operators, does not in general constitute an upper bound; rather, the large block limit must be taken (and the block size n divided out) in the expression for capacity. Cases are known where rates greater than the one block expression may be achieved [69] [60]. This superadditivity of the quantum expresssion is curious, and renders the expression much less useful for computation of channel capacity, both because large block sizes make computation cumbersome and because at present not enough is known about the rate of convergence of this expression in ....
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D. DiVincenzo, P. Shor, and J. Smolin, "Quantum channel capacities of very noisy channels," Phys. Rev. A, vol. 57, pp. 830--839, 1998.
On Quantum Fidelities and Channel Capacities - Barnum, Knill, Nielsen (2000) (5 citations) (Correct)
.... quantum capacity, one investigated for example in [13] 14] 15] 16] concerned with the maximum entropy of a density operator whose entanglement with a reference system which does not undergo the noise process can be preserved with high delity, and another arising for example in [17] 18] 19] [20] and concerned with the maximum H. Barnum is with the School of Natural Science and ISIS, Hampshire College, Amherst, MA 01002. E mail: hbarnum hampshire.edu. E. Knill is with the Los Alamos National Laboratories, Mail Stop B265, Los Alamos, NM 87545. E mail: knill lanl.gov. M. Nielsen is with ....
.... have worked on the problem of quantum information transmission through quantum channels; some of this work calculates or or bounds the capacity we study here, for particular channels or classes of channels: an incomplete list that could serve as an entry to the literature includes [17] 23] [20], 18] 19] 7] 9] 24] Some of the extensive literature on the more algebraic approach to quantum coding also yields information about the quantum capacity. II. Quantum sources and channel capacity A. Mathematical preliminaries and notation The e ect of encoding procedures, decoding ....
D. DiVincenzo, P. Shor, and J. Smolin, \Quantum channel capacities of very noisy channels," Phys. Rev. A, vol. 57, pp. 830-839, 1998. SUBMITTED TO IEEE TRANSACTIONS ON INFORMATION THEORY 13
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