An exponential separation between quantum and classical one
... A potential separation for a total function? So have we obtained a quadratic separation between quantum and classical 1WCC? Unfortunately not yet... for every group G people have considered so far (e.g. abelian groups), there is in fact a more clever O(log |G|) bit classical protocol! The complexit ...
... A potential separation for a total function? So have we obtained a quadratic separation between quantum and classical 1WCC? Unfortunately not yet... for every group G people have considered so far (e.g. abelian groups), there is in fact a more clever O(log |G|) bit classical protocol! The complexit ...
Phase noise in collective binary phase shift keying with Hadamard
... the low-power regime linearly with the mean photon number as IHel ≈ (2/ ln 2)n̄. Quantum mechanics offers a possibility to change qualitatively the above scaling through collective detection of multiple symbols. The ultimate limit of such a general strategy is given by the Holevo quantity χ [5] whic ...
... the low-power regime linearly with the mean photon number as IHel ≈ (2/ ln 2)n̄. Quantum mechanics offers a possibility to change qualitatively the above scaling through collective detection of multiple symbols. The ultimate limit of such a general strategy is given by the Holevo quantity χ [5] whic ...
Hypercontractivity for free products
... Kümmerer and Speicher [7]. These algebras interpolate between the bosonic and fermonic frameworks, corresponding to q = ±1. The semigroup for q = 0 acts diagonally on free semi-circular variables —instead of free generators as in the case of the free Poisson semigroup— in the context of Voiculescu’ ...
... Kümmerer and Speicher [7]. These algebras interpolate between the bosonic and fermonic frameworks, corresponding to q = ±1. The semigroup for q = 0 acts diagonally on free semi-circular variables —instead of free generators as in the case of the free Poisson semigroup— in the context of Voiculescu’ ...
The Stern-Gerlach Experiment
... , and the nuclear magnetic moment is gn µh̄B I , where gn is much smaller than the m p In field free space the interaction between the magnetic moments associated with the total ~ +S ~ and nuclear angular momentum I~ causes them electronic angular momentum J~ = L to precess with a frequency of the o ...
... , and the nuclear magnetic moment is gn µh̄B I , where gn is much smaller than the m p In field free space the interaction between the magnetic moments associated with the total ~ +S ~ and nuclear angular momentum I~ causes them electronic angular momentum J~ = L to precess with a frequency of the o ...
Adiabatic Quantum State Generation and Statistical Zero Knowledge
... where H(t) is an operator called the Hamiltonian of the system. We will consider systems of n qubits; H is then taken to be local, i.e. a sum of operators, each operating on a constant number of qubits. This captures the physical restriction that interactions in nature involve only a small number of ...
... where H(t) is an operator called the Hamiltonian of the system. We will consider systems of n qubits; H is then taken to be local, i.e. a sum of operators, each operating on a constant number of qubits. This captures the physical restriction that interactions in nature involve only a small number of ...
Quantum and private capacities of low
... well as the best approximate degrading map M can be obtained via semidefinite programming. Continuity results, relative to the case as if N is degradable, can then be obtained similarly to [11]. This new bound in [26] limits the difference between the 1-shot coherent information and the quantum capa ...
... well as the best approximate degrading map M can be obtained via semidefinite programming. Continuity results, relative to the case as if N is degradable, can then be obtained similarly to [11]. This new bound in [26] limits the difference between the 1-shot coherent information and the quantum capa ...
Chapter 15. - Portland State University
... to convert a list of items with repetitions to a set with no repeated elements, designed in ...
... to convert a list of items with repetitions to a set with no repeated elements, designed in ...
information - Clay and Iron
... configurations, depending on their electrical polarization. The dimers may represent the on-off switch which Hebb thought of as part of the Engram concept. The problem with his conclusion is that these components are so small that the electrical state of each dimer is influenced by the polarity and ...
... configurations, depending on their electrical polarization. The dimers may represent the on-off switch which Hebb thought of as part of the Engram concept. The problem with his conclusion is that these components are so small that the electrical state of each dimer is influenced by the polarity and ...
Process, System, Causality, and Quantum Mechanics, A
... who was of a reflective bent, saw here a curious and beautiful law of nature: “Ten barns each with five sheep, and then five fields each with ten sheep!” Unfortunately this law did not always hold, and when the wolves howled on the hill at night, it failed quite often. The farmer had an explanation ...
... who was of a reflective bent, saw here a curious and beautiful law of nature: “Ten barns each with five sheep, and then five fields each with ten sheep!” Unfortunately this law did not always hold, and when the wolves howled on the hill at night, it failed quite often. The farmer had an explanation ...
- Philsci
... with the fact that quantum measurements have outcomes (i.e. that they have one particular outcome or other). A stronger condition would follow from (basic e/e link). However (OOC) is strong enough for the insolubility proof: It is possible to escape it, and hence solve the measurement problem, by de ...
... with the fact that quantum measurements have outcomes (i.e. that they have one particular outcome or other). A stronger condition would follow from (basic e/e link). However (OOC) is strong enough for the insolubility proof: It is possible to escape it, and hence solve the measurement problem, by de ...
Quantum Operator Design for Lattice Baryon Spectroscopy
... state significantly contaminates the effective mass function at times greater than τ ≈ 20aτ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132 ...
... state significantly contaminates the effective mass function at times greater than τ ≈ 20aτ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132 ...
Chemical reaction rates using the semiclassical
... Several authors have formulated quantum thermodynamic theories for reaction rates.14 Unlike the classical thermodynamic formulation, i.e., transition state theory,12,13 the quantum mechanical version is not unique. An advantage of 0021-9606/2007/126共9兲/094104/8/$23.00 ...
... Several authors have formulated quantum thermodynamic theories for reaction rates.14 Unlike the classical thermodynamic formulation, i.e., transition state theory,12,13 the quantum mechanical version is not unique. An advantage of 0021-9606/2007/126共9兲/094104/8/$23.00 ...
Quantum networking with single ions J¨ urgen Eschner
... in the laser frequency or intensity or from magnetic field noise, will lead to non-maximal coherence. Even without these, however, an important fundamental limitation is set by the branching ratio of the upper level: in the case of slow Raman excitation, if the atom may decay back on the red |P i → ...
... in the laser frequency or intensity or from magnetic field noise, will lead to non-maximal coherence. Even without these, however, an important fundamental limitation is set by the branching ratio of the upper level: in the case of slow Raman excitation, if the atom may decay back on the red |P i → ...