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Selfaveraged scaling limits for random parabolic waves
 Archives of Rational Mechanics and Analysis
"... Abstract. We consider several types of scaling limits for the WignerMoyal equation of the parabolic waves in random media, the limiting cases of which include the radiative transfer limit, the diffusion limit and the whitenoise limit. We show under fairly general assumptions on the random refracti ..."
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Abstract. We consider several types of scaling limits for the WignerMoyal equation of the parabolic waves in random media, the limiting cases of which include the radiative transfer limit, the diffusion limit and the whitenoise limit. We show under fairly general assumptions on the random refractive index field that sufficient amount of medium diversity (thus excluding the whitenoise limit) leads to statistical stability or selfaveraging in the sense that the limiting law is deterministic and is governed by various transport equations depending on the specific scaling involved. The celebrated Schrödinger equation i � ∂Ψ
Quantum games with decoherence
 J. Phys. A
, 2005
"... Abstract. A protocol for considering decoherence in quantum games is presented. Results for twoplayer, twostrategy quantum games subject to decoherence are derived and some specific examples are given. Decoherence in other types of quantum games is also considered. As expected, the advantage that ..."
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Abstract. A protocol for considering decoherence in quantum games is presented. Results for twoplayer, twostrategy quantum games subject to decoherence are derived and some specific examples are given. Decoherence in other types of quantum games is also considered. As expected, the advantage that a quantum player achieves over a player restricted to classical strategies is diminished for increasing decoherence but only vanishes in the limit of maximum decoherence. PACS numbers: 03.67.a, 05.40.Fb, 02.50.Le Submitted to: J. Phys. A: Math. Gen. Quantum games with decoherence 2
Quantum convolutional codes: fundamentals
, 2004
"... We describe the theory of quantum convolutional error correcting codes. These codes are aimed at protecting a flow of quantum information over long distance communication. They are largely inspired by their classical analogs which are used in similar circumstances in classical communication. In this ..."
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We describe the theory of quantum convolutional error correcting codes. These codes are aimed at protecting a flow of quantum information over long distance communication. They are largely inspired by their classical analogs which are used in similar circumstances in classical communication. In this article, we provide an efficient polynomial formalism for describing their stabilizer group, derive an online encoding circuit with linear gate complexity and study error propagation together with the existence of online decoding. Finally, we provide a maximum likelihood error estimation algorithm with linear classical complexity for any memoryless channel. 1
Measurement Outcomes and Probability in Everettian Quantum Mechanics
, 2006
"... The decisiontheoretic account of probability in the Everett or manyworlds interpretation, advanced by David Deutsch and David Wallace, is shown to be circular. Talk of probability in Everett presumes the existence of a preferred basis to identify measurement outcomes for the probabilities to range ..."
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The decisiontheoretic account of probability in the Everett or manyworlds interpretation, advanced by David Deutsch and David Wallace, is shown to be circular. Talk of probability in Everett presumes the existence of a preferred basis to identify measurement outcomes for the probabilities to range over. But the existence of a preferred basis can only be established by the process of decoherence, which is itself probabilistic. Keywords: Quantum mechanics, Everett interpretation, Manyworlds interpretation, Decoherence, Probability.
Quantum information and computation
 arXiv:quantph/0512125. Forthcoming in Butterfield and Earman (eds.) Handbook of Philosophy of Physics
, 2005
"... This Chapter deals with theoretical developments in the subject of quantum information and quantum computation, and includes an overview of classical information and some relevant quantum mechanics. The discussion covers topics in quantum communication, quantum cryptography, and quantum computation, ..."
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This Chapter deals with theoretical developments in the subject of quantum information and quantum computation, and includes an overview of classical information and some relevant quantum mechanics. The discussion covers topics in quantum communication, quantum cryptography, and quantum computation, and concludes by considering whether a perspective in terms of quantum information
Quantum discord and Maxwell’s demons
 Phys. Rev. A
"... Quantum discord was proposed as an information theoretic measure of the “quantumness ” of correlations. I show that discord determines the difference between the efficiency of quantum and classical Maxwell’s demons – that is, entities that can or cannot measure nonlocal observables or carry out cond ..."
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Quantum discord was proposed as an information theoretic measure of the “quantumness ” of correlations. I show that discord determines the difference between the efficiency of quantum and classical Maxwell’s demons – that is, entities that can or cannot measure nonlocal observables or carry out conditional quantum operations – in extracting work from collections of correlated quantum systems. I. DEMONS Maxwell’s demon 1 was introduced to explore the role of information and, more generally, to investigate the place of “intelligent observers ” in physics. In modern discussions of the subject 2 “intelligence ” is often regarded as predicated upon or even synonymous with the information
On the EPRtype entanglement in the experiments of Scully et al. I. The micromaser case and delayedchoice quantum erasure. arXiv:quantph/0808.3176
"... Abstract Delayedchoice erasure is investigated in twophoton twoslit experiments that are generalizations of the micromaser experiment of Scully et al. [Scully, M. O. et al. Nature 351, 111116 (1991)]. Applying quantum mechanics to the localization detector, it is shown that erasure with delayed ..."
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Abstract Delayedchoice erasure is investigated in twophoton twoslit experiments that are generalizations of the micromaser experiment of Scully et al. [Scully, M. O. et al. Nature 351, 111116 (1991)]. Applying quantum mechanics to the localization detector, it is shown that erasure with delayed choice in the sense of Scully, has an analogous structure as simple erasure. The description goes beyond probabilities. The EPRtype disentanglement, consisting in two mutually incompatible distant measurements, is used as a general framework in both parts of this study. Two simple coherence cases are shown to emerge naturally, and they are precisely the two experiments of Scully et al. The treatment seems to require the relativerealityofunitarilyevolvingstate (RRUES) approach. Besides insight in the experiments, this study has also the goal of insight in quantum mechanics. The question is if the latter can be more than just a ”bookkeeping device ” for calculating probabilities as Scully et al. modestly and cautiously claim.
Two Dogmas About Quantum Mechanics
"... We argue that the intractable part of the measurement problem—the ‘big ’ measurement problem—is a pseudoproblem that depends for its legitimacy on the acceptance of two dogmas. The first dogma is John Bell’s assertion that measurement should never be introduced as a primitive process in a fundament ..."
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We argue that the intractable part of the measurement problem—the ‘big ’ measurement problem—is a pseudoproblem that depends for its legitimacy on the acceptance of two dogmas. The first dogma is John Bell’s assertion that measurement should never be introduced as a primitive process in a fundamental mechanical theory like classical or quantum mechanics, but should always be open to a complete analysis, in principle, of how the individual outcomes come about dynamically. The second dogma is the view that the quantum state has an ontological significance analogous to the significance of the classical state as the ‘truthmaker ’ for propositions about the occurrence and nonoccurrence of events, i.e., that the quantum state is a representation of physical reality. We show how both dogmas can be rejected in a realist informationtheoretic interpretation of quantum mechanics as an alternative to the Everett interpretation. The Everettian, too, regards the ∗Email address: