Quintet pairing and non-Abelian vortex string in spin-3/2 cold atomic... Congjun Wu, Jiangping Hu, and Shou-Cheng Zhang
... spin SU (2) symmetry is broken into the U (1) symmetry around the z-axis. A remarkable property is that both quasi-particles and spin wave excitations reverse the sign of their spin quantum numbers sz when going through the HQV loop. Meanwhile the HQV loop also changes sz to maintain spin conservati ...
... spin SU (2) symmetry is broken into the U (1) symmetry around the z-axis. A remarkable property is that both quasi-particles and spin wave excitations reverse the sign of their spin quantum numbers sz when going through the HQV loop. Meanwhile the HQV loop also changes sz to maintain spin conservati ...
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... taking the molecule to be in a fixed state as regards of other degrees of freedom. To study the inversion phenomenon of ammonia, time dependent quantum mechanical approach had been used for the first time. The work employs essentially a diffusion Quantum Monte Carlo (DQMC) method, based on propagati ...
... taking the molecule to be in a fixed state as regards of other degrees of freedom. To study the inversion phenomenon of ammonia, time dependent quantum mechanical approach had been used for the first time. The work employs essentially a diffusion Quantum Monte Carlo (DQMC) method, based on propagati ...
Spacetime Physics with Geometric Algebra
... representations of an orthonormal frame of spacetime vectors and thereby they characterize spacetime geometry. But how can this be? Dirac never said any such thing! And physicists today regard the set {γµ } as a single vector with matrices for components. Nevertheless, their practice shows that the ...
... representations of an orthonormal frame of spacetime vectors and thereby they characterize spacetime geometry. But how can this be? Dirac never said any such thing! And physicists today regard the set {γµ } as a single vector with matrices for components. Nevertheless, their practice shows that the ...
Modernizing Quantum Annealing using Local Searches
... searches and classical searches. Using this, I construct analogues to state-of-the-art classical algorithms, but made of quantum building blocks, I also demonstrate how to construct new hybrid algorithm which can use any classical algorithm which meets a very general set of criteria as a subroutine. ...
... searches and classical searches. Using this, I construct analogues to state-of-the-art classical algorithms, but made of quantum building blocks, I also demonstrate how to construct new hybrid algorithm which can use any classical algorithm which meets a very general set of criteria as a subroutine. ...
(3+1)-TQFTs and topological insulators
... Witten–Donaldson theory is not determined by homotopy invariants, and detects smooth structures of 4manifolds. The Witten–Donaldson TQFT is actually a partial TQFT because it is defined only for 4-manifolds with b+ 2 > 1. For example, it is not defined for the 4sphere S 4 . Very recently, Witten define ...
... Witten–Donaldson theory is not determined by homotopy invariants, and detects smooth structures of 4manifolds. The Witten–Donaldson TQFT is actually a partial TQFT because it is defined only for 4-manifolds with b+ 2 > 1. For example, it is not defined for the 4sphere S 4 . Very recently, Witten define ...
Lecture 8
... Universal quantum gates A set of gates is said to be universal for quantum computation if any unitary operation may be approximated to arbitrary accuracy by a quantum circuit involving only those gates. A unitary matrix U which acts on d-dimensional Hilbert space may be decomposed into a product of ...
... Universal quantum gates A set of gates is said to be universal for quantum computation if any unitary operation may be approximated to arbitrary accuracy by a quantum circuit involving only those gates. A unitary matrix U which acts on d-dimensional Hilbert space may be decomposed into a product of ...
Quantum Computation and Quantum Information 10th Anniversary
... One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th Anniversary Edition includes a new Introduction and Afterword from the authors setting the work in context. This comprehensive textbo ...
... One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th Anniversary Edition includes a new Introduction and Afterword from the authors setting the work in context. This comprehensive textbo ...
Link to PDF - D
... The first problem identified by Stephen Cook in 1971 [Coo71] to be NP-complete was Boolean satisfiability; SAT for short. The input to a satisfiability problem is a Boolean formula involving logical variables {y1 , . . . , yn } each taking the value true or false, and connected by the propositional ...
... The first problem identified by Stephen Cook in 1971 [Coo71] to be NP-complete was Boolean satisfiability; SAT for short. The input to a satisfiability problem is a Boolean formula involving logical variables {y1 , . . . , yn } each taking the value true or false, and connected by the propositional ...
On classification of scientific revolutions
... know, that they belong to different aspects of the disciplinary matrix. The idea, that there may be different kinds of scientific revolutions offers another solution to the problem of the vagueness of the concept of paradigm. We believe, that the vagueness of this concept is the consequence of the ...
... know, that they belong to different aspects of the disciplinary matrix. The idea, that there may be different kinds of scientific revolutions offers another solution to the problem of the vagueness of the concept of paradigm. We believe, that the vagueness of this concept is the consequence of the ...
On Extracting Probability Distribution Information from Time Series
... It should be clear that the resulting PDF lacks any information regarding temporal ordering (temporal causality). The only pieces of information that result are the xt −values that allow one to assign inclusion within a given bin, thus ignoring the temporal order (this is, the subindex t). In additi ...
... It should be clear that the resulting PDF lacks any information regarding temporal ordering (temporal causality). The only pieces of information that result are the xt −values that allow one to assign inclusion within a given bin, thus ignoring the temporal order (this is, the subindex t). In additi ...
Compactness and Symmetry in Quantum Logic 1 Introduction
... compared to what? In other words, we need a general mathematical framework for discussing probabilistic models – classical, quantum, or otherwise. A particularly elementary, but still very general and flexible, framework of this sort, developed mainly by D. J. Foulis and C. H. Randall in the 1970s a ...
... compared to what? In other words, we need a general mathematical framework for discussing probabilistic models – classical, quantum, or otherwise. A particularly elementary, but still very general and flexible, framework of this sort, developed mainly by D. J. Foulis and C. H. Randall in the 1970s a ...
Density matrices
... Summary of the ensemble point of view Definition: The density matrix for a system in state j with probability pj is pj j j . ...
... Summary of the ensemble point of view Definition: The density matrix for a system in state j with probability pj is pj j j . ...
Fock Spaces - Institut Camille Jordan
... This solution, as well as the ones for more (even infinite) degrees of freedom, is realized through a particular family of spaces: the symmetric Fock spaces. In the case of the anticommutation relations, one does not need to rewrite them, for b(x) and b∗ (x) are always bounded operators (as we shall ...
... This solution, as well as the ones for more (even infinite) degrees of freedom, is realized through a particular family of spaces: the symmetric Fock spaces. In the case of the anticommutation relations, one does not need to rewrite them, for b(x) and b∗ (x) are always bounded operators (as we shall ...
Classification results on purely electric or magnetic perfect
... The space-time starts off with a stiff matter-like big-bang singularity at a finite proper time in the past and expands indefinitely towards an Einstein space. 3.2.3. PEpf ’s, zero vorticity. In this case it was proved in [26] that the Weyl principal tetrad is Fermi-propagated along the matter flow, ...
... The space-time starts off with a stiff matter-like big-bang singularity at a finite proper time in the past and expands indefinitely towards an Einstein space. 3.2.3. PEpf ’s, zero vorticity. In this case it was proved in [26] that the Weyl principal tetrad is Fermi-propagated along the matter flow, ...
Experimental Evaluation of an Adiabatic Quantum System for
... pairs are weighted according to hi and Jij . If the system remains in ground state, the collection S of measured qubit states minimizes M (S). In theory, if the transition is carried out slowly enough, S is an optimal solution to M , for any M . However, theoretical guarantees are based on several a ...
... pairs are weighted according to hi and Jij . If the system remains in ground state, the collection S of measured qubit states minimizes M (S). In theory, if the transition is carried out slowly enough, S is an optimal solution to M , for any M . However, theoretical guarantees are based on several a ...