Complete description of a quantum system at a given time
... In the standard approach to quantum theory, operators with no common eigenstates cannot have definite values simultaneously. For example, there is no state vector of a spin-f particle for which we can predict with certainty the result of measuring ux and the result of measuring U? when one of these ...
... In the standard approach to quantum theory, operators with no common eigenstates cannot have definite values simultaneously. For example, there is no state vector of a spin-f particle for which we can predict with certainty the result of measuring ux and the result of measuring U? when one of these ...
FIFTY YEARS OF EIGENVALUE PERTURBATION
... perturbation theory. The first nontrivial term is second order normally called the Fermi Golden Rule. There is no systematic study of higher order and/or convergence in the physics literature. Some of the first attempts at a mathematical theory are due to Friedrichs. A common theme in these studies ...
... perturbation theory. The first nontrivial term is second order normally called the Fermi Golden Rule. There is no systematic study of higher order and/or convergence in the physics literature. Some of the first attempts at a mathematical theory are due to Friedrichs. A common theme in these studies ...
How Quantum Computers Fail - Einstein Institute of Mathematics
... based on the individual qubits.) In contrast, we can regard the subspace of bosonic states as a quantum code, and the type of noise we expect amounts to having a mixed state between the intended bosonic state and other bosonic states. Such a noise does not exhibit a strong dependence on the computa ...
... based on the individual qubits.) In contrast, we can regard the subspace of bosonic states as a quantum code, and the type of noise we expect amounts to having a mixed state between the intended bosonic state and other bosonic states. Such a noise does not exhibit a strong dependence on the computa ...
EmQM15-Symposium Introduction-Walleczek-Grössing-10-23-2015
... “Emergent Gravity” space is an emergent, not fundamental Emergent Space-Time concept. We have many examples of interesting quantum mechanical states, for which we can think of some (or all) of the spatial dimensions as emergent. Together with emergent space, we have the emergent dynamics of space ...
... “Emergent Gravity” space is an emergent, not fundamental Emergent Space-Time concept. We have many examples of interesting quantum mechanical states, for which we can think of some (or all) of the spatial dimensions as emergent. Together with emergent space, we have the emergent dynamics of space ...
Multiphoton population transfer between rovibrational states of HF: adiabatic
... final states in classical action, which corresponds to n for the Coulomb problem. The initial state just below the island and the final state above it form a separatrix at the right field strength. Driving the system a little harder destroys the separatrix and creates a chaotic sea, mixing the traje ...
... final states in classical action, which corresponds to n for the Coulomb problem. The initial state just below the island and the final state above it form a separatrix at the right field strength. Driving the system a little harder destroys the separatrix and creates a chaotic sea, mixing the traje ...
Time Symmetry and the Many-Worlds Interpretation - Philsci
... It is uncontroversial to apply the concepts of the TSVF, such as the twostate vector, weak values, etc., to a quantum system in the past, when both pre- and post-selection have already taken place. The revolutionary proposal of Aharonov [1] is that the backwards evolving state exists at the present ...
... It is uncontroversial to apply the concepts of the TSVF, such as the twostate vector, weak values, etc., to a quantum system in the past, when both pre- and post-selection have already taken place. The revolutionary proposal of Aharonov [1] is that the backwards evolving state exists at the present ...
Quantum Field Theory and Coalgebraic Logic in Theoretical
... These NG correlations allow the existence of infinitely many non-unitarily inequivalent representations of the canonical commutation relations (CCR’s) in QFT (non-unitarily inequivalent Hilbert spaces of the system states) (Blasone et al., 2011). The DDF allows then to use the minimum free energy fu ...
... These NG correlations allow the existence of infinitely many non-unitarily inequivalent representations of the canonical commutation relations (CCR’s) in QFT (non-unitarily inequivalent Hilbert spaces of the system states) (Blasone et al., 2011). The DDF allows then to use the minimum free energy fu ...
Quantum Theory Looks at Time Travel
... U, some sums over all possible paths leading from the initial state to the final state, but restricting these paths to the forward direction of time. Furthermore, it is well known that when one makes measurements in quantum theory, one’s simple sense of causality is violated, and so a classical sens ...
... U, some sums over all possible paths leading from the initial state to the final state, but restricting these paths to the forward direction of time. Furthermore, it is well known that when one makes measurements in quantum theory, one’s simple sense of causality is violated, and so a classical sens ...
1. Introduction - Université de Rennes 1
... Let us now make a remark. One can see on the formula (1.1) that the quantum Maxwellian reads as the global equilibrium canonical ensemble associated to the Hamiltonian −∆ + A(x), where the chemical potential A(x) is seen as an applied potential. Hence, our problem can be reformulated as the followin ...
... Let us now make a remark. One can see on the formula (1.1) that the quantum Maxwellian reads as the global equilibrium canonical ensemble associated to the Hamiltonian −∆ + A(x), where the chemical potential A(x) is seen as an applied potential. Hence, our problem can be reformulated as the followin ...
The evolution of free wave packets
... out without limit. How different this behavior is from that of a free classical particle. The reconciliation of the classical and quantum descriptions is part of the bigger question of the interpretation of quantum mechanics; here we will consider only the dynamics of free wave packets as given by S ...
... out without limit. How different this behavior is from that of a free classical particle. The reconciliation of the classical and quantum descriptions is part of the bigger question of the interpretation of quantum mechanics; here we will consider only the dynamics of free wave packets as given by S ...
Complete Axiomatizations for Quantum Actions
... actions with respect to infinite-dimensional Hilbert spaces, can be seen as a partial solution to the open problem in [10]. Our proof is based on an extension of (Mayet’s version of) Solèr’s Theorem [23, 30], itself an extension of Piron’s Representation Theorem for Piron lattices [25, 26, 2].There ...
... actions with respect to infinite-dimensional Hilbert spaces, can be seen as a partial solution to the open problem in [10]. Our proof is based on an extension of (Mayet’s version of) Solèr’s Theorem [23, 30], itself an extension of Piron’s Representation Theorem for Piron lattices [25, 26, 2].There ...
On the Study of Quantum Properties of Space-Time with
... A basic observation is that the sensitivity of modern interferometers and resonant bars is reaching (in certain frequency windows) the level corresponding to strain noise power spectrum3 of the order of 10 44 Hz 1 and this is naturally described [9, 38] as the ratio of the Planck length versus the s ...
... A basic observation is that the sensitivity of modern interferometers and resonant bars is reaching (in certain frequency windows) the level corresponding to strain noise power spectrum3 of the order of 10 44 Hz 1 and this is naturally described [9, 38] as the ratio of the Planck length versus the s ...
glvt-cnrs.fr
... 3 )2 linked by moderately strong hydrogen bonds (figure 1) [11, 12]. Decoherence is cancelled by the dynamical separation of protons from the rest of the lattice [13]. Neutron diffraction reveals, in addition to Bragg’s peaks, rods of diffuse scattering, suggesting the existence of macroscopic state ...
... 3 )2 linked by moderately strong hydrogen bonds (figure 1) [11, 12]. Decoherence is cancelled by the dynamical separation of protons from the rest of the lattice [13]. Neutron diffraction reveals, in addition to Bragg’s peaks, rods of diffuse scattering, suggesting the existence of macroscopic state ...
10 Time Reversal Symmetry in Quantum Mechanics
... If x → x, p → −p under time reversal, then this commutation relation no longer holds. How to solve this problem? It was realized by Wigner that in quantum mechanics, time reversal has to be defined in a very special way different from all other symmetries. Time reversal operator is anti-unitary: it ...
... If x → x, p → −p under time reversal, then this commutation relation no longer holds. How to solve this problem? It was realized by Wigner that in quantum mechanics, time reversal has to be defined in a very special way different from all other symmetries. Time reversal operator is anti-unitary: it ...
A new theory of the origin of cancer
... determine cell shape, orientation and form. And centrioles have the information storage and processing capacity to record the “blueprints” for a vast number of phenotypes, all possible states of differentiation in a specific organism. The key question in differentiation is how signals/communication ...
... determine cell shape, orientation and form. And centrioles have the information storage and processing capacity to record the “blueprints” for a vast number of phenotypes, all possible states of differentiation in a specific organism. The key question in differentiation is how signals/communication ...
Wellposedness of a nonlinear, logarithmic Schrödinger equation of
... rise to a modular type nonlinearity κQψ [6, 25], represents a field through which the electrons interact with themselves and can be interpreted as a quantum diffusion term yielding a theory which contains quantum–mechanical confinement ...
... rise to a modular type nonlinearity κQψ [6, 25], represents a field through which the electrons interact with themselves and can be interpreted as a quantum diffusion term yielding a theory which contains quantum–mechanical confinement ...
QUANTUM COMPUTING WITH SUPERCONDUCTORS I: ARCHITECTURES Michael R. Geller Andrew T. Sornborger
... loops interrupted by one or more JJs (called superconducting quantum interference devices, or SQUIDS), what would later become flux qubits. And in the late-1990’s the group of Yasunobu Nakamura at NEC in Tsukuba (Nakamura et al., 1997; Nakamura et al., 1999) developed the first Cooper-pair box or ch ...
... loops interrupted by one or more JJs (called superconducting quantum interference devices, or SQUIDS), what would later become flux qubits. And in the late-1990’s the group of Yasunobu Nakamura at NEC in Tsukuba (Nakamura et al., 1997; Nakamura et al., 1999) developed the first Cooper-pair box or ch ...
Bachelor Thesis
... BB84 and E91. In both protocols we study the case of an attack from an eavesdropper and its consequences. We also add an original calculation in E91 protocol assuming an imperfect communication between the legitimate users. Experimental aspects of quantum cryptography are analyzed reviewing two of t ...
... BB84 and E91. In both protocols we study the case of an attack from an eavesdropper and its consequences. We also add an original calculation in E91 protocol assuming an imperfect communication between the legitimate users. Experimental aspects of quantum cryptography are analyzed reviewing two of t ...