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How to test the “quantumness” of a quantum computer?
How to test the “quantumness” of a quantum computer?

... is firmly established, the question of its role for universal adiabatic quantum computing, and its more limited versions (such as quantum optimization or approximate adiabatic quantum computing) is being debated (see, e.g., [17,18]). Quantum coherence is certainly necessary, but on what scale, and f ...
Quantum Physical Symbol Systems
Quantum Physical Symbol Systems

Quantum Channels, Kraus Operators, POVMs
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Paradox in Wave-Particle Duality
Paradox in Wave-Particle Duality

... of the minima of the presumed interference fringes, and both pinholes are open. To obtain values for K and V we perform three measurements of the photon count for the following three distinct configurations: (i) no wire grid, (ii) wire grid in central minima, (iii) wire grid in central minima and one ...
Document
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... has a quite different mechanism. It is the first example of a clean, nondissipative ratchet which is fully chaotic and, hence, does not require initial preparation on a specific set of islands/tori. The basic mechanism relies on a hitherto unnoticed effect. In brief: consider particles in the asymme ...
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The strange (hi)story of particles and waves

... position measurements. In a Wilson chamber, one could even observe tracks of droplets that can be regarded as successions of such position measurements along particle trajectories. As a consequence, Schrödinger seemed to resign when Max Born, influenced by Wolfgang Pauli, re-interpreted his new prob ...
Quantum Entanglement, Nonlocality, and Back-In
Quantum Entanglement, Nonlocality, and Back-In

... Quantum Entanglement, Nonlocality, and Back-In-Time Messages John G. Cramer Professor Emeritus of Physics University of Washington Norwescon 33 April 3, 2010 ...
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Noisy Storage talk

Logic of Quantum Mechanics
Logic of Quantum Mechanics

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On Quantum Versions of Record

... the overall running time of this algorithm is also T ∼ (2−2/k)n . This upper bound is close to the best known upper bound for k-SAT (see below). Schöning’s algorithm was derandomized in [6]. In Schöning’s algorithm, there are N ∼ (2 − 2/k)n results of different runs of S, and we look for a result ...
Electromagnetic plane waves - The University of Texas at Austin
Electromagnetic plane waves - The University of Texas at Austin

KyleBoxPoster
KyleBoxPoster

... qbits. Thus, we need only break the qbit into two distinct sections, add them through an adder, and repeat until we have n or fewer qbits. Since the largest value we can have at the end of any modulus is 2n–2, the largest value at the end of the multiplicative and additive step is (2n–2)(2n–2) + 2n– ...
Quantum mechanics of electrons in strong magnetic field
Quantum mechanics of electrons in strong magnetic field

... To obtain a more concrete idea about the size of the gap between two adjacent Landau levels, we estimate itthe Landau gap. In a typical metal in the field B of the order 10T and taking electron mass me ' 10−27 g, one can estimate the gap roughly as ~Ω = ~eB/me c ' 1.5 ∗ 10−15 erg ' 15K. In a semico ...
Bell inequalities made simple(r):
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The Berry-Tabor conjecture
The Berry-Tabor conjecture

... Eskin, Margulis and Mozes [10] recently strengthened Sarnak’s result by giving explicit diophantine conditions on (α, β, γ) under which the Berry-Tabor conjecture holds. Admissible forms are for example m2 + γn2 ...
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The quantum Heisenberg group H(1)q

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Analysis of a Population Genetics Model with Mutation, Selection
Analysis of a Population Genetics Model with Mutation, Selection

... times. In contrast to Waxman and Peck, (1) who solve approximately the fixed point equation to obtain a time-independent probability density, we demonstrate that there is only one fixed point solution, and calculate the time-dependence of the approach to it. In Section 3 we examine the discrete-time ...
April 16, 1998 - StealthSkater
April 16, 1998 - StealthSkater

... Hiley then turns from the physicists to the neuroscientists. Lashly showed that visual perception and recall are nonlocally distributed across the brain. Does this require nonlocal quantum entanglements directly in the brain's configuration space beyond classical nerve and chemical messenger propag ...
powerpoint
powerpoint

... Did you ever wonder how thoughts can affect the physical world? Where is meaning in thoughts? These questions are part of the story how metaphysics and quantum physics are interrelated at a pre-physics or proto-physical level, using primarily information concepts. These complex topics are understand ...
Stochastic simulations of conditional states of partially observed
Stochastic simulations of conditional states of partially observed

... General theory ...
Classification of completely positive maps
Classification of completely positive maps

The quantum pigeonhole principle and the nature of quantum
The quantum pigeonhole principle and the nature of quantum

Weak Values in Quantum Measurement Theory
Weak Values in Quantum Measurement Theory

... We have introduced the weak values and reviewed the experimental realization in the optical system. In analogous to the quantum operation for density operator, we construct the quantum operation for the weak operator associated with the weak values. ...
Quantum information and quantum computation
Quantum information and quantum computation

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Probability amplitude



In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.
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