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QUANTUM COMPUTING: AN OVERVIEW
QUANTUM COMPUTING: AN OVERVIEW

... pi . In other words, we cannot say definitely which state the system is in. Therefore some random nature comes into the description of the system. Such a system is said to be in a mixed state while a system whose vector is uniquely specified is in a pure state. A pure state is a special case of a mixe ...
On the equivalence of separability and extendability of quantum states
On the equivalence of separability and extendability of quantum states

... One of the most important problems in quantum mechanics as well as quantum information theory is to determine whether a given bipartite state is separable or entangled [?]. There are several methods in tackling this problem leading to a long list of important publications. A detailed discussion on t ...
1 Why do we need position operator in quantum theory?
1 Why do we need position operator in quantum theory?

PowerPoint - Isaac Newton Institute
PowerPoint - Isaac Newton Institute

A functional quantum programming language
A functional quantum programming language

... functions 2 . A reversible finite computation, that is a closed computational system, is modelled by a reversible operation φ, which is a bijection of finite sets in the classical case, and a unitary operator on the Hilbert spaces in the quantum case. We write A (unitary B for the set of unitary ope ...
Science Journals — AAAS
Science Journals — AAAS

... phase-stable. Pairs of polarization entangled photons, produced by two SPDC crystals (see Materials and Methods), impinge on a PBS. Two orthogonally polarized photons, one from each source, are sent to separate displaced Sagnac interferometers. Initially, they are incident on a beam splitter where o ...
Entanglement Witnesses
Entanglement Witnesses

... Measurability of Witness operator • Hermitian witness operator: • decomposed in 2 x 2: requires measurement of 3 unknown parameters. (Far less than 15 required for full state tomography ! Difference even larger in higher dimensions) For implementation using polarized photons [c.f., Barbieri, et al, ...
Introduction to the general boundary formulation of quantum theory
Introduction to the general boundary formulation of quantum theory

... In a fundamental quantum theory a state is a priori a state of the universe. But, we cannot hope to be able to describe the universe in all its details. We need to be able to describe physics locally. In quantum field theory this is achieved dynamically, using the background metric. Causality and cl ...
The strange link between the human mind and quantum physics
The strange link between the human mind and quantum physics

... allowed an active role in quantum theory. To others, that did not make sense. Surely, Albert Einstein once complained, the Moon does not exist only when we look at it! Today some physicists suspect that, whether or not consciousness influences quantum mechanics, it might in fact arise because of it. ...
Staging quantum cryptography with chocolate balls
Staging quantum cryptography with chocolate balls

... urn at once; or by breaking the time order of events. This would correspond to technological problems related to implementations of quantum cryptography. It is allowed to eavesdrop on the encrypted messages. For the first protocol, every potential eavesdropper needs to wear colored glasses. Note tha ...
Multiple orthogonal polynomials in random matrix theory
Multiple orthogonal polynomials in random matrix theory

Coherent Exciton Dynamics in Semiconductor Superlattices:A Quasi
Coherent Exciton Dynamics in Semiconductor Superlattices:A Quasi

Impact of Spin-Orbit Coupling on Quantum Hall
Impact of Spin-Orbit Coupling on Quantum Hall

A quantum random walk model for the (1 + 2) dimensional Dirac
A quantum random walk model for the (1 + 2) dimensional Dirac

Quantum-enhanced measurements: beating the standard quantum
Quantum-enhanced measurements: beating the standard quantum

Beating the Standard Quantum Limit
Beating the Standard Quantum Limit

... example is given in (A), where the outcomes (tiny triangles) are distributed according to a Gaussian probability with standard deviation ∆x. The Heisenberg uncertainty relation states that when simultaneously measuring incompatible observables such as position x and momentum p the product of the spr ...
Quantum Phase Transitions
Quantum Phase Transitions

Perches, Post-holes and Grids
Perches, Post-holes and Grids

Maximizing the entanglement of two mixed qubits
Maximizing the entanglement of two mixed qubits

On the correspondence principle
On the correspondence principle

Science Journals — AAAS
Science Journals — AAAS

... phase-stable. Pairs of polarization entangled photons, produced by two SPDC crystals (see Materials and Methods), impinge on a PBS. Two orthogonally polarized photons, one from each source, are sent to separate displaced Sagnac interferometers. Initially, they are incident on a beam splitter where o ...
Collapse and Revival in the Jaynes-Cummings
Collapse and Revival in the Jaynes-Cummings

Quantum Brownian motion and the Third Law of thermodynamics
Quantum Brownian motion and the Third Law of thermodynamics

A Global Equilibrium as the Foundation of Quantum
A Global Equilibrium as the Foundation of Quantum

Quantum state majorization at the output of bosonic Gaussian
Quantum state majorization at the output of bosonic Gaussian

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Density matrix

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