High-fidelity Z-measurement error encoding of optical qubits
... in a basis determined from the outcome of previous measurements 关22兴. Like the n-qubit Z-error QEC code, these cluster states are robust against accidental Z measurement. The encoding of Eq. 共1兲 also forms the basic element in a redundancy code, which can be used to correct for photon loss errors 关2 ...
... in a basis determined from the outcome of previous measurements 关22兴. Like the n-qubit Z-error QEC code, these cluster states are robust against accidental Z measurement. The encoding of Eq. 共1兲 also forms the basic element in a redundancy code, which can be used to correct for photon loss errors 关2 ...
Quantum Sphere
... If this is indeed the case, then the reason why a Kochen-Specker type contradiction does not occur is the impossibility to \close" the argument; to complete the cycle: the necessary elements of physical reality are simply not available in the rational sphere model. (For the same reason, an equilater ...
... If this is indeed the case, then the reason why a Kochen-Specker type contradiction does not occur is the impossibility to \close" the argument; to complete the cycle: the necessary elements of physical reality are simply not available in the rational sphere model. (For the same reason, an equilater ...
Probability Amplitudes
... interested in describing the orbit of the Earth around the sun, it would be sufficient to specify the state only in so far as the position and momentum of the centre of mass of the Earth. The fact that the Earth rotates, or that grass is green is not information that is required to deal with the orb ...
... interested in describing the orbit of the Earth around the sun, it would be sufficient to specify the state only in so far as the position and momentum of the centre of mass of the Earth. The fact that the Earth rotates, or that grass is green is not information that is required to deal with the orb ...
Last section - end of Lecture 4
... amplitudes to calculate are scattering matrix elements - this is what quantum field theory does well. But most applications of general relativity are not scattering amplitudes. In order to address quantum effects more generally one needs to be able to treat the non-linear classical solutions. One wa ...
... amplitudes to calculate are scattering matrix elements - this is what quantum field theory does well. But most applications of general relativity are not scattering amplitudes. In order to address quantum effects more generally one needs to be able to treat the non-linear classical solutions. One wa ...
104,18415 (2007)
... consisting of a small number of atoms has recently been made in the literature. The proposed system is essentially a small continuous quantum Hall liquid and completely different from the large discrete Kitaev lattice system discussed here. As we will see, the origin and creation of anyonic excitati ...
... consisting of a small number of atoms has recently been made in the literature. The proposed system is essentially a small continuous quantum Hall liquid and completely different from the large discrete Kitaev lattice system discussed here. As we will see, the origin and creation of anyonic excitati ...
Mean spin direction and spin squeezing in superpositions of spin
... The above expression is valid for θ = 0, π. For θ = 0, π, the mean spin is along the ±z direction, and one possible choice of φ can be φ = 0, π. To illustrate the above finding, we plot in Fig. 1, the azimuth angle and the polar angle versus the relative phase γ for state 1. Dependent on γ, the angl ...
... The above expression is valid for θ = 0, π. For θ = 0, π, the mean spin is along the ±z direction, and one possible choice of φ can be φ = 0, π. To illustrate the above finding, we plot in Fig. 1, the azimuth angle and the polar angle versus the relative phase γ for state 1. Dependent on γ, the angl ...
Stochastic Schrödinger equations
... Infinitesimally, the quantum trajectories are solutions of a stochastic differential equation with the measurement process as the noise term. The change in the state is given by the sum of two terms: a deterministic one proportional to dt and a stochastic one proportional to the number of detected p ...
... Infinitesimally, the quantum trajectories are solutions of a stochastic differential equation with the measurement process as the noise term. The change in the state is given by the sum of two terms: a deterministic one proportional to dt and a stochastic one proportional to the number of detected p ...
An Accidental Relationship Between a Relative Quantum
... nite number of states, that projection-valued measurements of mutually unbiased basis [11], constitute an optimal strategy. Once a state is reconstructed, its entanglement can be calculated, at least in principle. In fact, many experimental demonstrations of entanglement use quantum tomographic meth ...
... nite number of states, that projection-valued measurements of mutually unbiased basis [11], constitute an optimal strategy. Once a state is reconstructed, its entanglement can be calculated, at least in principle. In fact, many experimental demonstrations of entanglement use quantum tomographic meth ...
Quantum field theory and gravitation
... based on joint work with Romeo Brunetti, Michael Dütsch and Katarzyna Rejzner Klaus Fredenhagen ...
... based on joint work with Romeo Brunetti, Michael Dütsch and Katarzyna Rejzner Klaus Fredenhagen ...
Integration 4 The Fundamental Theorem of Calculus 4.4
... You could evaluate five different definite integrals, one for each of the given upper limits. However, it is much simpler to fix x (as a constant) temporarily to obtain ...
... You could evaluate five different definite integrals, one for each of the given upper limits. However, it is much simpler to fix x (as a constant) temporarily to obtain ...
Generating Entanglement and Squeezed States of Nuclear Spins in Quantum Dots
... Typically, the inequality in Eq. (1) is far from saturated in quantum dots under ambient conditions. In equilibrium, ...
... Typically, the inequality in Eq. (1) is far from saturated in quantum dots under ambient conditions. In equilibrium, ...
Bell's theorem
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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: