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High-Performance Computing and Quantum Processing - HPC-UA
High-Performance Computing and Quantum Processing - HPC-UA

... where tseries and tparallel are the averaged times to perform series and parallel processing will all related tasks and operations; NP is the number of processors; rseries and rparallel are the series (not parallelizable) and parallelizable ratios. The speed-up measure Mspeed depends on the degree o ...
Wave Operators for Classical Particle Scattering
Wave Operators for Classical Particle Scattering

Supplementary Information Quantum interference measurement of
Supplementary Information Quantum interference measurement of

Mutually unbiased bases, orthogonal Latin squares, and hidden
Mutually unbiased bases, orthogonal Latin squares, and hidden

... d + 1 complementary measurements for d being a prime number 关4兴. This result was generalized by Wootters and Fields to cover powers of primes 关1兴. For other dimensions the number of MUBs is unknown, the simplest case being dimension six. A considerable amount of work was done towards understanding t ...
here
here

... • The set of possible instantaneous locations of a classical particle is called its configuration space. This is usually three dimensional Euclidean space R3 . The number of coordinates needed to specify the instantaneous configuration of a system is the number of degrees of freedom. A system consis ...
Wick calculus
Wick calculus

... Normal ordering was introduced in quantum field theory by Wick in 1950 to avoid some infinities in the vacuum expectation values of field operators expressed in terms of creation and annihilation operators.1 The simplest example of such infinities can be discussed starting from only nonrelativistic ...
How to test the “quantumness” of a quantum computer? Miroslav Grajcar
How to test the “quantumness” of a quantum computer? Miroslav Grajcar

... The looming impossibility to predict the behavior of any big enough quantum processor (adiabatic, gate-based, etc) and even to test it for “quantumness” using classical tools, is the elephant in the room, and it may effectively restrict any further progress. Even taking the optimistic view, that qua ...
Spin-orbit-coupled Bose
Spin-orbit-coupled Bose

... region marked j"9æ the reverse holds. The energy difference between the two minima is D(V, d) 5 E2(q") 2 E2(q#) < d for small d (see Methods). In the third ‘single minimum’ regime, the atoms condense at the single minimum q0. These dressed spins act as free particles with group velocity BKx/m (with ...
Corley: Quantum Mechanics and Free Will
Corley: Quantum Mechanics and Free Will

Quantum weakest preconditions
Quantum weakest preconditions

- Philsci
- Philsci

... phenomena it is about. Following the available literature, we will refer to such explanations as structural explanations. In order to illustrate our main claim, we will present two case studies, involving two of the most typical and puzzling quantum phenomena, namely Heisenberg’s Uncertainty Relatio ...
Quantum Phase Transitions
Quantum Phase Transitions

Structural Explanations, or the Reasonable Effectiveness of
Structural Explanations, or the Reasonable Effectiveness of

... phenomena it is about. Following the available literature, we will refer to such explanations as structural explanations. In order to illustrate our main claim, we will present two case studies, involving two of the most typical and puzzling quantum phenomena, namely Heisenberg’s Uncertainty Relatio ...
Efficient generation of a maximally entangled state by
Efficient generation of a maximally entangled state by

On distinguishability, orthogonality, and violations of the second law: contradictory assumptions, contrasting pieces of knowledge
On distinguishability, orthogonality, and violations of the second law: contradictory assumptions, contrasting pieces of knowledge

... The interplay of orthogonality, distinguishability, thermodynamics, and multiplicity of observers is quite interesting; therefore we want to discuss and analyse it in varying depth, mainly with paedagogical purposes. The paper is divided into two main parts, reflecting two main perspectives. In the ...
Abstracts Escuela de Fisica Matematica 2015, Universidad de los
Abstracts Escuela de Fisica Matematica 2015, Universidad de los

... Phase transition of anyons confined in one-dimensional optical lattice Anyons are the third fundamental category of particles, for two anyons under particle exchange the wavefunction acquires a fractional phase eiθ , giving rise to fractional statistics with 0 < θ < π. The greatest interest for the ...
Beam Dynamics in High Energy Colliders
Beam Dynamics in High Energy Colliders

...  pure spin state align along a quantization axis  Spin vector S: a collection of particles  the average of each particle spin expectation value along a given direction  Spin orbit interaction S ...
Determinisms - The Information Philosopher
Determinisms - The Information Philosopher

Information measures of hydrogenic systems, Laguerre polynomials
Information measures of hydrogenic systems, Laguerre polynomials

Rewriting measurement-based quantum computations with
Rewriting measurement-based quantum computations with

Notes on Elementary Particle Physics
Notes on Elementary Particle Physics

Continuous Matrix Product States for Quantum Fields
Continuous Matrix Product States for Quantum Fields

Cumulants and partition lattices.
Cumulants and partition lattices.

... This is the first paper to appear in the statistical literature pointing out the importance of the partition lattice in the theory of statistical moments and their close cousins, the cumulants. The paper was first brought to my attention by Susan Wilson, shotly after I had given a talk at Imperial C ...
One Complexity Theorist`s View of Quantum Computing
One Complexity Theorist`s View of Quantum Computing

Part II
Part II

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Bell's theorem



Bell's theorem is a ‘no-go theorem’ that draws an important distinction between quantum mechanics (QM) and the world as described by classical mechanics. This theorem is named after John Stewart Bell.In its simplest form, Bell's theorem states:Cornell solid-state physicist David Mermin has described the appraisals of the importance of Bell's theorem in the physics community as ranging from ""indifference"" to ""wild extravagance"". Lawrence Berkeley particle physicist Henry Stapp declared: ""Bell's theorem is the most profound discovery of science.""Bell's theorem rules out local hidden variables as a viable explanation of quantum mechanics (though it still leaves the door open for non-local hidden variables). Bell concluded:Bell summarized one of the least popular ways to address the theorem, superdeterminism, in a 1985 BBC Radio interview:
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