From wave functions to quantum fields
... where we applied successively, k k = 1, l Tr(AB) = Tr(BA), µ ⌫ + ⌫ µ = 0 and k k = 1. l µ So, Tr( ) = 0. But the trace of a matrix is equal to the sum of its eigenvalues. Since 0 0 =1, l the eigenvalues of 0 are ±1. Similarly, the eigenvalues of k are ±i. The trace being 0, there must be as many pos ...
... where we applied successively, k k = 1, l Tr(AB) = Tr(BA), µ ⌫ + ⌫ µ = 0 and k k = 1. l µ So, Tr( ) = 0. But the trace of a matrix is equal to the sum of its eigenvalues. Since 0 0 =1, l the eigenvalues of 0 are ±1. Similarly, the eigenvalues of k are ±i. The trace being 0, there must be as many pos ...
Quantum Imaging beyond the Diffraction Limit by
... which is the marginal centroid probability distribution, hereafter denoted as pm ðXÞ. The minimum feature size of the marginal centroid probability distribution is similarly limited by the bandwidth of the total momentum jKj 2N sin=, and can therefore also reach the de Broglie length scale =N ...
... which is the marginal centroid probability distribution, hereafter denoted as pm ðXÞ. The minimum feature size of the marginal centroid probability distribution is similarly limited by the bandwidth of the total momentum jKj 2N sin=, and can therefore also reach the de Broglie length scale =N ...
On realism and quantum mechanics
... that photon ν1 passes through A and photon ν2 passes through B without considering the details of the experiment. The usual interpretation is (QM1 ) A Before the measurement, the photons of each pair do not possess a definite value of the polarization. (QM1 ) B Therefore, the photons pairs produced b ...
... that photon ν1 passes through A and photon ν2 passes through B without considering the details of the experiment. The usual interpretation is (QM1 ) A Before the measurement, the photons of each pair do not possess a definite value of the polarization. (QM1 ) B Therefore, the photons pairs produced b ...
A high-speed tunable beam splitter for feed
... EOMs Voltage / Volts. Fig. 3. (Color online.) Demonstration of the tunable and polarization-independent feedforward operation of a single-qubit gate of path-encoded qubits. Experimental results for A horizontally and B +45◦ polarized input single photons. The black squares (red circles) are the valu ...
... EOMs Voltage / Volts. Fig. 3. (Color online.) Demonstration of the tunable and polarization-independent feedforward operation of a single-qubit gate of path-encoded qubits. Experimental results for A horizontally and B +45◦ polarized input single photons. The black squares (red circles) are the valu ...
Spectrum analysis with quantum dynamical systems
... Recent technological advances, especially in optomechanics [1], suggest that quantum noise will soon be the major limiting factor in many metrological applications [2]. Many tasks in optomechanics force sensing, including thermometry, estimation of stochastic gravitational-wave background [3,4], and ...
... Recent technological advances, especially in optomechanics [1], suggest that quantum noise will soon be the major limiting factor in many metrological applications [2]. Many tasks in optomechanics force sensing, including thermometry, estimation of stochastic gravitational-wave background [3,4], and ...
Why we do quantum mechanics on Hilbert spaces
... mathematics of Hilbert spaces and operators on them. What in experiment suggests the specific form of quantum mechanics with its “postulates”? Why should measurable quantities be represented by operators on a Hilbert space? Why should the complete information about a system be represented by a vecto ...
... mathematics of Hilbert spaces and operators on them. What in experiment suggests the specific form of quantum mechanics with its “postulates”? Why should measurable quantities be represented by operators on a Hilbert space? Why should the complete information about a system be represented by a vecto ...
Entangled Bell states of two electrons in coupled quantum dots
... trapped ions, Rydberg atoms, and cavity. Semiconductor quantum dots have their own advantages as a candidate of the basic building blocks of solid state based quantum logic devices, due to the existence of an industrial base for semiconductor processing and the ease to integration with existing devi ...
... trapped ions, Rydberg atoms, and cavity. Semiconductor quantum dots have their own advantages as a candidate of the basic building blocks of solid state based quantum logic devices, due to the existence of an industrial base for semiconductor processing and the ease to integration with existing devi ...
majorization and quantum entanglement
... It will be convenient, however, to rst study the in uence of majorization in the context of mixing of quantum states. This, apart from helping us understand certain restrictions on quantum measurements, will also provide an extra result that can be applied to design local conversion strategies. Thu ...
... It will be convenient, however, to rst study the in uence of majorization in the context of mixing of quantum states. This, apart from helping us understand certain restrictions on quantum measurements, will also provide an extra result that can be applied to design local conversion strategies. Thu ...
1203.3054v2
... approximate cloning. Imperfect or approximate 1-to-2 optimal quantum cloners have been shown to exist [10, 11] and the results have been generalized to 1-to-M cloning [12]. An expression for the maximum fidelity of N-to-M cloning of qudits has been found [13], and corresponding cloners have been obt ...
... approximate cloning. Imperfect or approximate 1-to-2 optimal quantum cloners have been shown to exist [10, 11] and the results have been generalized to 1-to-M cloning [12]. An expression for the maximum fidelity of N-to-M cloning of qudits has been found [13], and corresponding cloners have been obt ...
Word
... - Because spin is conserved, when a pion 0 decays, the total spin of the electron eand positron e+ it decays into must add up to the spin of the original pion 0 = 0 - if the electron e- has spin up = +1/2, then the positron e+ must have spin down = -1/2 and visa versa ...
... - Because spin is conserved, when a pion 0 decays, the total spin of the electron eand positron e+ it decays into must add up to the spin of the original pion 0 = 0 - if the electron e- has spin up = +1/2, then the positron e+ must have spin down = -1/2 and visa versa ...
On Quantum Nonseparability - Philsci
... violates the conception of separability.1 The source of its defiance is due to the tensorproduct structure of Hilbert-space quantum mechanics and the superposition principle of states. As a means of facilitating the discussion, we shall mostly consider in the sequel the simplest case of a compound s ...
... violates the conception of separability.1 The source of its defiance is due to the tensorproduct structure of Hilbert-space quantum mechanics and the superposition principle of states. As a means of facilitating the discussion, we shall mostly consider in the sequel the simplest case of a compound s ...
Wigner functions - Statistical Physics and Theory of Chaos
... the momentum variable. Although straightforward, the momentum distribution is difficult to visualize if one only has 共x兲. It would be desirable to have a function that displays the probability distribution simultaneously in the x and p variables. The Wigner function, introduced by Wigner in 1932,1 ...
... the momentum variable. Although straightforward, the momentum distribution is difficult to visualize if one only has 共x兲. It would be desirable to have a function that displays the probability distribution simultaneously in the x and p variables. The Wigner function, introduced by Wigner in 1932,1 ...
quantum computing (ppt, udel.edu)
... 8. Since the two registers are entangled, measuring the output register will have the effect of partially collapsing the input register into an equal superposition of each state between 0 and q-1 that yielded c (the value of the collapsed output register.) Since the output register collapsed to |1>, ...
... 8. Since the two registers are entangled, measuring the output register will have the effect of partially collapsing the input register into an equal superposition of each state between 0 and q-1 that yielded c (the value of the collapsed output register.) Since the output register collapsed to |1>, ...