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116
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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Cited by 21 (11 self)
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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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Cited by 17 (2 self)
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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
De BroglieBohm PilotWave Theory: Many Worlds in Denial?
, 811
"... We reply to claims (by Deutsch, Zeh, Brown and Wallace) that the pilotwave theory of de Broglie and Bohm is really a manyworlds theory with a superfluous configuration appended to one of the worlds. Assuming that pilotwave theory does contain an ontological pilot wave (a complexvalued field in c ..."
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We reply to claims (by Deutsch, Zeh, Brown and Wallace) that the pilotwave theory of de Broglie and Bohm is really a manyworlds theory with a superfluous configuration appended to one of the worlds. Assuming that pilotwave theory does contain an ontological pilot wave (a complexvalued field in configuration space), we show that such claims arise from not interpreting pilotwave theory on its own terms. Specifically, the theory has its own (‘subquantum’) theory of measurement, and in general describes a ‘nonequilibrium ’ state that violates the Born rule. Furthermore, in realistic models of the classical limit, one does not obtain localised pieces of an ontological pilot wave following alternative macroscopic trajectories: from a de BroglieBohm viewpoint, alternative trajectories are merely mathematical and not ontological. Thus, from the perspective of pilotwave theory itself, many worlds are an illusion. It is further argued that, even leaving pilotwave theory aside, the theory of many worlds is rooted in the intrinsically unlikely assumption that quantum measurements should be
A Consistent Quantum Ontology
, 2011
"... The (consistent or decoherent) histories interpretation provides a consistent realistic ontology for quantum mechanics, based on two main ideas. First, a logic (system of reasoning) is employed which is compatible with the Hilbertspace structure of quantum mechanics as understood by von Neumann: qu ..."
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Cited by 10 (3 self)
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The (consistent or decoherent) histories interpretation provides a consistent realistic ontology for quantum mechanics, based on two main ideas. First, a logic (system of reasoning) is employed which is compatible with the Hilbertspace structure of quantum mechanics as understood by von Neumann: quantum properties and their negations correspond to subspaces and their orthogonal complements. It employs a special (single framework) syntactical rule to construct meaningful quantum expressions, quite different from the quantum logic of Birkhoff and von Neumann. Second, quantum time development is treated as an inherently stochastic process under all circumstances, not just when measurements take place. The timedependent Schrödinger equation provides probabilities, not a deterministic time development of the world. The resulting interpretive framework has no measurement problem and can be used to analyze in quantum terms what is going on before, after, and during physical preparation and measurement processes. In particular, appropriate measurements can reveal quantum properties possessed by the measured system before the measurement took place. There are no mysterious superluminal influences: quantum systems satisfy an appropriate form of Einstein locality.
A Kapitza–Dirac–Talbot–Lau interferometer for highly polarizable molecules
, 2007
"... Research on matter waves is a thriving field of quantum physics and has recently stimulated many investigations with electrons 1, neutrons 2, atoms 3, Bosecondensed ensembles 4, cold clusters 5 and hot molecules 6. Coherence experiments with complex objects are of interest for exploring the transit ..."
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Cited by 10 (2 self)
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Research on matter waves is a thriving field of quantum physics and has recently stimulated many investigations with electrons 1, neutrons 2, atoms 3, Bosecondensed ensembles 4, cold clusters 5 and hot molecules 6. Coherence experiments with complex objects are of interest for exploring the transition to classical physics 7–9, for measuring molecular properties 10, and they have even been proposed for testing new models of spacetime 11. For matterwave experiments with complex molecules, the strongly dispersive effect of the interaction between the diffracted molecule and the grating wall is a major challenge because it imposes enormous constraints on the velocity selection of the molecular beam 12. Here, we describe the first experimental realization of a new setup that solves this problem by combining the advantages of a socalled Talbot–Lau interferometer 13 with the benefits of an optical phase grating.
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 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
An introduction to many worlds in quantum computation
, 802
"... The interpretation of quantum mechanics is an area of increasing interest to many working physicists. In particular, interest has come from those involved in quantum computing and information theory, as there has always been a strong foundational element in this field. This paper introduces one inte ..."
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The interpretation of quantum mechanics is an area of increasing interest to many working physicists. In particular, interest has come from those involved in quantum computing and information theory, as there has always been a strong foundational element in this field. This paper introduces one interpretation of quantum mechanics, a modern ‘manyworlds’ theory, from the perspective of quantum computation. Reasons for seeking to interpret quantum mechanics are discussed, then the specific ‘neoEverettian ’ theory is introduced and its claim as the best available interpretation defended. The main objections to the interpretation, including the socalled “problem of probability ” are shown to fail. The local nature of the interpretation is demonstrated, and the implications of this both for the interpretation and for quantum mechanics more generally are discussed. Finally, the consequences of the theory for quantum computation are investigated, and common objections to using many worlds to describe quantum computing are answered. We find that using this particular manyworlds theory as a physical foundation for quantum computation gives several distinct advantages over other interpretations, and over not interpreting quantum theory at all.