Quantum Computing - Department of Computing
... such tuple. For example there is only one nontrivial classical gate with one input and one output bit, namely the NOT gate with 0 7→ 1 and 1 7→ 0. A quantum gate is the quantum analogue of a classical gate. It takes a tuple of qubits and outputs another such tuple. Let’s see how to define a quantum ...
... such tuple. For example there is only one nontrivial classical gate with one input and one output bit, namely the NOT gate with 0 7→ 1 and 1 7→ 0. A quantum gate is the quantum analogue of a classical gate. It takes a tuple of qubits and outputs another such tuple. Let’s see how to define a quantum ...
Universal edge information from wavefunction deformation
... (with which to calculate the edge and entanglement Hamiltonian) give the boundary conditions on a circle (periodic/anti-periodic),Qand also the different Z2 symmetry sectors of G = n τnx (see discussion later and Ref. [19] for a more detailed explanation of the symmetry sectors corresponding to diff ...
... (with which to calculate the edge and entanglement Hamiltonian) give the boundary conditions on a circle (periodic/anti-periodic),Qand also the different Z2 symmetry sectors of G = n τnx (see discussion later and Ref. [19] for a more detailed explanation of the symmetry sectors corresponding to diff ...
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... It is clear that this fact may be interpreted as follows: for the observer moving together with information its loss can occur only at the transition to smaller scales, i.e. to greater deformation parameter α. Now we consider the general Information Problem. Note that with the classical Quantum Mech ...
... It is clear that this fact may be interpreted as follows: for the observer moving together with information its loss can occur only at the transition to smaller scales, i.e. to greater deformation parameter α. Now we consider the general Information Problem. Note that with the classical Quantum Mech ...
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... for realizing large-scale quantum computers. These include well characterized qubits, long decoherence, and the ability to initialize, measure and perform a universal set of gates [9, 27, 31, 38]. Experimental results with ion traps have demonstrated all the requirements of a viable quantum technolo ...
... for realizing large-scale quantum computers. These include well characterized qubits, long decoherence, and the ability to initialize, measure and perform a universal set of gates [9, 27, 31, 38]. Experimental results with ion traps have demonstrated all the requirements of a viable quantum technolo ...
Manifestations of Berry`s phase in molecules and condensed matter
... will further assume that the ground state |ψ0 (ξ) is non-degenerate for any value of ξ in the parameter domain; the 0 subscript is omitted in most of this work, in order to avoid an undue burden of notation. We start by defining the phase difference between the ground eigenstates at two different ξ ...
... will further assume that the ground state |ψ0 (ξ) is non-degenerate for any value of ξ in the parameter domain; the 0 subscript is omitted in most of this work, in order to avoid an undue burden of notation. We start by defining the phase difference between the ground eigenstates at two different ξ ...
Massachusetts Institute of Technology Spring 2014
... |1, N i = sin θ |g, N + 1i + cos θ |e, N i |2, N i = cos θ |g, N + 1i − sin θ |e, N i ...
... |1, N i = sin θ |g, N + 1i + cos θ |e, N i |2, N i = cos θ |g, N + 1i − sin θ |e, N i ...
Physicalism and the Part-Whole Relation
... Abstract: In this paper I intend to analyse whether a certain kind of physicalism (part-wholephysicalism) is supported by what classical mechanics and quantum mechanics have to say about the part whole relation. I will argue that not even the most likely candidates – namely cases of micro-explanatio ...
... Abstract: In this paper I intend to analyse whether a certain kind of physicalism (part-wholephysicalism) is supported by what classical mechanics and quantum mechanics have to say about the part whole relation. I will argue that not even the most likely candidates – namely cases of micro-explanatio ...
Geometrical Wake of a Smooth Flat Collimator - SLAC
... with the Neumann boundary condition at the upper and lower walls, ~HY /& ,=*bfZJ = 0, and the Dirichlet boundary condition HY = 0 at the lateral walls y = ±h. It is convenient to formulate the magnetic problem in a way analogous to the electric one by introducing the magnetic “potential” pm such tha ...
... with the Neumann boundary condition at the upper and lower walls, ~HY /& ,=*bfZJ = 0, and the Dirichlet boundary condition HY = 0 at the lateral walls y = ±h. It is convenient to formulate the magnetic problem in a way analogous to the electric one by introducing the magnetic “potential” pm such tha ...
n - at www.arxiv.org.
... Substitution of (9) into (6),(7) yields equations for the amplitudes b̃n , which differ from (6),(7) only in the sign of ηn, n−1 and ηn, n+1 . So, a change in the sign of the matrix elements alters only the phase of the wave function amplitude and leaves unaltered the quantities |bn (t)|2, and thus ...
... Substitution of (9) into (6),(7) yields equations for the amplitudes b̃n , which differ from (6),(7) only in the sign of ηn, n−1 and ηn, n+1 . So, a change in the sign of the matrix elements alters only the phase of the wave function amplitude and leaves unaltered the quantities |bn (t)|2, and thus ...
Chapter 7. Statistical Mechanics
... to the highest. However, it does say that states of higher energy Ej are disfavored by the exp (- Ej /kT) factor, but if states of higher energy have larger degeneracies Ωj (which they usually do), the overall population of such states may not be low. That is, there is a competition between state de ...
... to the highest. However, it does say that states of higher energy Ej are disfavored by the exp (- Ej /kT) factor, but if states of higher energy have larger degeneracies Ωj (which they usually do), the overall population of such states may not be low. That is, there is a competition between state de ...
Quantum noise properties of multiphoton transitions in driven nonlinear resonators
... these amplifying devices mostly operate in the semiclassical regime where many quanta in the resonator are excited. This implies that pure quantum fluctuations are typically small on average. Nevertheless, some experiments have been realized at low temperature where the relevant fluctuations are qua ...
... these amplifying devices mostly operate in the semiclassical regime where many quanta in the resonator are excited. This implies that pure quantum fluctuations are typically small on average. Nevertheless, some experiments have been realized at low temperature where the relevant fluctuations are qua ...
Matrix Product States and Tensor Network States
... degeneracy depends on topology (genus): Topological order! → local characterization of topological order → parametrization of ground space manifold based on symmetry of single tensor → gives us the tools to explicitly construct & study ground states → works for systems with finite correlation length ...
... degeneracy depends on topology (genus): Topological order! → local characterization of topological order → parametrization of ground space manifold based on symmetry of single tensor → gives us the tools to explicitly construct & study ground states → works for systems with finite correlation length ...
Quantum distributed computing - Technion
... given in its current form by Andrew Yao [52]. A good reference on classical communication complexity is [34]. There are several variations of the basic model; here, we concentrate on the most natural one. Let F be a k-input binary function. We are in a context where the k players each have one of th ...
... given in its current form by Andrew Yao [52]. A good reference on classical communication complexity is [34]. There are several variations of the basic model; here, we concentrate on the most natural one. Let F be a k-input binary function. We are in a context where the k players each have one of th ...
