Sufficient Conditions for Efficient Classical Simulation of Quantum
... sampling problem. In addition, a question of both fundamental and practical importance concerns the effect of imperfections on the classical intractability of sampling problems. There have been various investigations of the effect on boson sampling of imperfections in the LON [13–16] and of mode mis ...
... sampling problem. In addition, a question of both fundamental and practical importance concerns the effect of imperfections on the classical intractability of sampling problems. There have been various investigations of the effect on boson sampling of imperfections in the LON [13–16] and of mode mis ...
Producing Squeezed Input States for an Atomic Clock Using an Optical Cavity.
... between the two directions orthogonal to the mean spin hSi; reducing noise in the spectroscopically important direction while increasing it in the other (irrelevant) direction. Spin squeezing has been studied experimentally for over a decade, with demonstrations of squeezing by absorption of squeeze ...
... between the two directions orthogonal to the mean spin hSi; reducing noise in the spectroscopically important direction while increasing it in the other (irrelevant) direction. Spin squeezing has been studied experimentally for over a decade, with demonstrations of squeezing by absorption of squeeze ...
mixing in quantum field theory
... In the standard QM treatment [15], the Pontecorvo states (35)–(36) are usually assumed to be produced in a charged current weak interaction process, together with the respective charged (anti-) leptons. However, as we have shown above, such states are not eigenstates of the (neutrino) lepton charges ...
... In the standard QM treatment [15], the Pontecorvo states (35)–(36) are usually assumed to be produced in a charged current weak interaction process, together with the respective charged (anti-) leptons. However, as we have shown above, such states are not eigenstates of the (neutrino) lepton charges ...
Tip-Enhanced Fluorescence Microscopy at 10 Nanometer Resolution
... there was no experimental or theoretical consensus regarding either the functionality or the set of parameters governing the spatial confinement [12,15–18]. In this Letter, we show unambiguously that the enhancement decays strictly according to a power-law functionality moderated by a single paramet ...
... there was no experimental or theoretical consensus regarding either the functionality or the set of parameters governing the spatial confinement [12,15–18]. In this Letter, we show unambiguously that the enhancement decays strictly according to a power-law functionality moderated by a single paramet ...
Lecture 6
... and phase of the vibration of the ions within each primitive cell. [ M ω 2 − ( K + G )]ε1 + ( K + Ge − ika )ε 2 = 0 [ M ω 2 − ( K + G )]ε 2 + ( K + Ge − ika )ε1 = 0 This pair of homogeneous equations will have a solution, if the determinant of the coefficients vanishes: [ M ω 2 − ( K + G )]2 − | K + ...
... and phase of the vibration of the ions within each primitive cell. [ M ω 2 − ( K + G )]ε1 + ( K + Ge − ika )ε 2 = 0 [ M ω 2 − ( K + G )]ε 2 + ( K + Ge − ika )ε1 = 0 This pair of homogeneous equations will have a solution, if the determinant of the coefficients vanishes: [ M ω 2 − ( K + G )]2 − | K + ...
Average-Case Quantum Query Complexity
... biggest gap known between quantum and classical worst-case complexities for total functions. (In contrast, for partial Boolean functions the gap can be much bigger [9, 18].) A recent result is that the gap between D(f ) and Q(f ) is at most polynomial for every total f : D(f ) 2 O(Q(f )6 ) [3]. This ...
... biggest gap known between quantum and classical worst-case complexities for total functions. (In contrast, for partial Boolean functions the gap can be much bigger [9, 18].) A recent result is that the gap between D(f ) and Q(f ) is at most polynomial for every total f : D(f ) 2 O(Q(f )6 ) [3]. This ...
`To Be, To Be, What Does it Mean to Be?` : On Quantum
... very language of “quantum-like” usually applies to such mathematical models (e.g., [1], [2]).1 Indeed, the models to be considered here do not contain any mathematics at all. They offer conceptual configurations by means of which we can relate to the world either by describing, at least ideally, som ...
... very language of “quantum-like” usually applies to such mathematical models (e.g., [1], [2]).1 Indeed, the models to be considered here do not contain any mathematics at all. They offer conceptual configurations by means of which we can relate to the world either by describing, at least ideally, som ...
Quantum Darwinism as a Darwinian process - Non
... It is interesting that we find computational machinery central to the functioning of adaptive systems found in nature and that it is such computational machinery found in nature that underlies the theory of computation. Adaptive systems, by this definition, contain a good deal of internal machinery. ...
... It is interesting that we find computational machinery central to the functioning of adaptive systems found in nature and that it is such computational machinery found in nature that underlies the theory of computation. Adaptive systems, by this definition, contain a good deal of internal machinery. ...
Coupled quantum dots as quantum gates
... the effective Bohr radius of a single isolated harmonic well. This choice for the potential is motivated by the experimental fact5 that the spectrum of single dots in GaAs is well described by a parabolic confinement potential, e.g., with \ v 0 53 meV. 5 We note that increasing ~decreasing! the inte ...
... the effective Bohr radius of a single isolated harmonic well. This choice for the potential is motivated by the experimental fact5 that the spectrum of single dots in GaAs is well described by a parabolic confinement potential, e.g., with \ v 0 53 meV. 5 We note that increasing ~decreasing! the inte ...
The strange (hi)story of particles and waves
... While his general wave equation ih∂y/∂t = Hy would allow various time-dependent solutions, such as the moving wave packet of Fig. 1, bound electrons appeared to be restricted to standing waves. The latter are solutions of the stationary Schrödinger equation Hy = Ey that gives rise to the observed di ...
... While his general wave equation ih∂y/∂t = Hy would allow various time-dependent solutions, such as the moving wave packet of Fig. 1, bound electrons appeared to be restricted to standing waves. The latter are solutions of the stationary Schrödinger equation Hy = Ey that gives rise to the observed di ...
Fermi liquid
... 1. Quantum critical electron systems and the great questions of condensed matter physics 2. Hairy black holes versus zero temperature entropy in quantum critical heavy fermion systems. ...
... 1. Quantum critical electron systems and the great questions of condensed matter physics 2. Hairy black holes versus zero temperature entropy in quantum critical heavy fermion systems. ...
Cavity QED
... • Cavity QED quantum computing attempts to combine two very hard experimental techniques: the high-finesse optical cavity and the single ion/atom trapping. This is not just doubly-veryhard, but may well be (very-hard)2 • Assuming “hard” > 1, we have “very hard” >> 1, and (“very hard”)2 >> “very hard ...
... • Cavity QED quantum computing attempts to combine two very hard experimental techniques: the high-finesse optical cavity and the single ion/atom trapping. This is not just doubly-veryhard, but may well be (very-hard)2 • Assuming “hard” > 1, we have “very hard” >> 1, and (“very hard”)2 >> “very hard ...
The capacity of the noisy quantum channel
... to transmit quantum information—with schemes that use quantum channels to transmit classical information, as in Caves and Drummond’s comprehensive review of quantum limits on bosonic communication rates.2 The limit to the rate at which arbitrary sequences of ordinary classical bits, suitably encoded ...
... to transmit quantum information—with schemes that use quantum channels to transmit classical information, as in Caves and Drummond’s comprehensive review of quantum limits on bosonic communication rates.2 The limit to the rate at which arbitrary sequences of ordinary classical bits, suitably encoded ...
Lecture 20: Density Operator Formalism 1 Density Operator
... Suppose we have a system where Alice can act on some part of it and Bob acts on the rest. The state is described by |ψAB i. We can always write this state as a linear combination of the standard basis vectors. The next theorem states that we can do better. It is possible to write the state as a tens ...
... Suppose we have a system where Alice can act on some part of it and Bob acts on the rest. The state is described by |ψAB i. We can always write this state as a linear combination of the standard basis vectors. The next theorem states that we can do better. It is possible to write the state as a tens ...
referring
... Heisenberg’s paper of July 19251 on ‘‘Quantummechanical reinterpretation of kinematic and mechanical relations,’’ 2,3 was the breakthrough that quickly led to the first complete formulation of quantum mechanics.4 – 6 Despite its undoubtedly crucial historical role, Heisenberg’s approach in this pape ...
... Heisenberg’s paper of July 19251 on ‘‘Quantummechanical reinterpretation of kinematic and mechanical relations,’’ 2,3 was the breakthrough that quickly led to the first complete formulation of quantum mechanics.4 – 6 Despite its undoubtedly crucial historical role, Heisenberg’s approach in this pape ...
Advantages of Probability Amplitude Over Probability Density in
... the basic nature of QM yet to be realized, and efforts to look for more fundamental explanations continue. Of course, QM itself is a self-consistent theory and requires no fundamental reasoning to support its truths beyond what are gains from experiments. Still, it is worth pursuing more basic reaso ...
... the basic nature of QM yet to be realized, and efforts to look for more fundamental explanations continue. Of course, QM itself is a self-consistent theory and requires no fundamental reasoning to support its truths beyond what are gains from experiments. Still, it is worth pursuing more basic reaso ...
Strong-Disorder Fixed Point in the Dissipative Random Transverse-Field Ising Model
... of the (single) spin-boson (SB) model [15], where it describes accurately its critical behavior [19]. Suppose that the largest coupling in the chain is a transverse field, say h2 . Before we treat the coupling of site 2 to the rest of the system J1 z1 z2 J2 z2 z3 perturbatively asPin [3] we c ...
... of the (single) spin-boson (SB) model [15], where it describes accurately its critical behavior [19]. Suppose that the largest coupling in the chain is a transverse field, say h2 . Before we treat the coupling of site 2 to the rest of the system J1 z1 z2 J2 z2 z3 perturbatively asPin [3] we c ...
Tutorial 9 - UBC Physics
... experiments. This is perhaps the simplest example of a system that displays all the essential features of quantum mechanics. Let's first recall the mathematical model of photon ...
... experiments. This is perhaps the simplest example of a system that displays all the essential features of quantum mechanics. Let's first recall the mathematical model of photon ...