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The Emergence and Interpretation of Probability
The Emergence and Interpretation of Probability

... Before delving into the topic further, let’s step back and ask why the distribution postulate is so needy of justification? Why do so many feel that (3) shouldn’t stand alongside (1) and (2) as “axioms” of the theory? Why can’t the theory posit three axioms? Let’s call the position that treats (1)-( ...
Semiclassical formula for the number variance of the Riemann zeros
Semiclassical formula for the number variance of the Riemann zeros

... distribution of the spacings E,,, - E, between neighbouring zeros) accurately conform to GUE predictions, long-range statistics (such as the correlations between distant spacings) do not, and are better described in terms of primes. I have argued elsewhere [ 5 , 6 ] that exactly this behaviour would ...
Shor`s Algorithm and the Quantum Fourier Transform
Shor`s Algorithm and the Quantum Fourier Transform

... In 1994, Peter Shor discovered an algorithm that can factor numbers in polynomial time using a quantum computer[10] , a drastic improvement over the GNFS. Shor’s algorithm consists of a classical and a quantum part. The classical part involves modular exponentiation via repeated squaring, which can ...
Probability in Bohmian Mechanics[1]
Probability in Bohmian Mechanics[1]

Physical justification for using the tensor product to describe two
Physical justification for using the tensor product to describe two

Path Integrals in Quantum Mechanics
Path Integrals in Quantum Mechanics

Realization of quantum error correction
Realization of quantum error correction

... After encoding, we apply an ‘error’ v e, a rotation X ve ; to all qubits by means of a stimulated-Raman transition with all ions illuminated equally (see equation (1) and top part of Fig. 2a). With respect to later measurement, this error induces a spin-flip on each physical qubit with probability p ...
Light-shift imbalance induced blockade of collective excitations beyond the lowest order
Light-shift imbalance induced blockade of collective excitations beyond the lowest order

... based on the light-shift imbalance in a Raman transition, can overcome these limitations. The resulting system does not impose any constraint on the distribution of inter-atomic distance within an ensemble. Furthermore, no dipole–dipole coupling is necessary, so that a relatively low density system ...
Controlling heat and particle currents in nanodevices
Controlling heat and particle currents in nanodevices

Simulation of Quantum Gates on a Novel GPU Architecture
Simulation of Quantum Gates on a Novel GPU Architecture

Advantages of Probability Amplitude Over Probability Density in
Advantages of Probability Amplitude Over Probability Density in

Fault-Tolerant Quantum Computation and the Threshold Theorem
Fault-Tolerant Quantum Computation and the Threshold Theorem

ppt - Zettaflops
ppt - Zettaflops

... • What can you do with it? –You can sample from it –You can repeat the simulation and perform state tomography to estimate  (t ) –… but this is likely to be inefficient –You can use it as an input to another quantum algorithm (the key!!) ...
The Einstein-Podolsky-Rosen Argument in Quantum Theory (http
The Einstein-Podolsky-Rosen Argument in Quantum Theory (http

Two Qubits for CG Jung`s Theory of Personality
Two Qubits for CG Jung`s Theory of Personality

1 Uncertainty principle and position operator in standard theory
1 Uncertainty principle and position operator in standard theory

Revisiting a Limit on Efficient Quantum Computation Tarsem S. Purewal Jr.  ABSTRACT
Revisiting a Limit on Efficient Quantum Computation Tarsem S. Purewal Jr. ABSTRACT

... it has not been proven that quantum computers are more powerful than their classical counterparts in any practical sense, this approach has provided us with a wealth of weaker evidence that this is likely true. We can also use the complexity-theoretic approach to answer a related, but slightly diffe ...
Necessary and Sufficient Quantum Information Characterization of
Necessary and Sufficient Quantum Information Characterization of

... dub subchannel discrimination, in a practically relevant scenario where measurements can only be performed locally. Subchannel discrimination is the identification of which branch of a quantum evolution a quantum system undergoes (see Fig. 1). It is well known that entanglement between a probe and a ...
1 On the completeness of quantum mechanics
1 On the completeness of quantum mechanics

... can register a correct value or fail to register it with a small probability. Only in this case one can obtain predictions for all different random experiments (A,B) where A denotes polarizer used for a particle 1 and B a polarizer used for a particle 2 by conditionalization from a single sample (pr ...
Probability distributions in classical and quantum
Probability distributions in classical and quantum

quantum-gravity-presentation
quantum-gravity-presentation

The Black Hole Information Paradox and the Collapse of the Wave
The Black Hole Information Paradox and the Collapse of the Wave

... is generically lost, then the fact that black holes lose information stops being that surprising and problematic. Therefore, in principle, such modification removes the impediment for black hole physics, including their eventual evaporation, to be described at the fundamental level using the same la ...
- Harish-Chandra Research Institute
- Harish-Chandra Research Institute

Qubit Quantum Mechanics with Correlated-photon Experiments,
Qubit Quantum Mechanics with Correlated-photon Experiments,

... rotates the direction of the propagation basis by the angle ␪ = ␦ / 2.27 Thus, an interferometer can be used for unitary operations on direction-of-propagation qubits. Quantum mechanics provides one of its mysteries when it allows the state 共1 / 冑2兲共兩X典 + 兩Y典兲, which signifies that the quantum of li ...
Quantum Statistical Response Functions
Quantum Statistical Response Functions

... eigenstate of A corresponding to the particular eigenvalue an. or alternatively by the diagonal matrix elements of the density operator in the eigenstate basis of the operator A. The density operator can be defined by giving its matrix elements in any complete basis, the so called density matrix. Th ...
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Measurement in quantum mechanics

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