Quantum and Classical Query Complexities of Local Search are
... the hypercube, Llewellyn, Tovey and Trick have shown [?] that to find a local optimum takes deterministically Θ(2k /k 1/2 ), that is only slightly less than n queries. The randomized and the quantum cases are much harder to analyze. In the randomized case, Aldous [?] proved that any algorithm must ...
... the hypercube, Llewellyn, Tovey and Trick have shown [?] that to find a local optimum takes deterministically Θ(2k /k 1/2 ), that is only slightly less than n queries. The randomized and the quantum cases are much harder to analyze. In the randomized case, Aldous [?] proved that any algorithm must ...
Uncertainty principle in view of quantum estimation theory
... always attainable? The answer is negative: Letting A be a real hermitian matrix which is larger than J S01 , that is, A > J S01, there exists such an unbiased estimator M that V [M ] is not smaller than A. In other words, there is no better bound than SLD CR bound. In the general case, therefore, no ...
... always attainable? The answer is negative: Letting A be a real hermitian matrix which is larger than J S01 , that is, A > J S01, there exists such an unbiased estimator M that V [M ] is not smaller than A. In other words, there is no better bound than SLD CR bound. In the general case, therefore, no ...
Fault-Tolerant Quantum Computation and the Threshold Theorem
... Before discussing how to perform fault-tolerant operations, it is nice to see where all of our discussion is heading. Suppose that we have constructed a fault-tolerant set of operations (gates, preparation, measurement, error correction) for a quantum error correcting code. In such a construction, i ...
... Before discussing how to perform fault-tolerant operations, it is nice to see where all of our discussion is heading. Suppose that we have constructed a fault-tolerant set of operations (gates, preparation, measurement, error correction) for a quantum error correcting code. In such a construction, i ...
Quantum Computing in the de Broglie-Bohm Pilot
... positivist view along with Bohr and claim that one cannot meaningfully talk about what nature is really like but only about the outcomes of measurements. Others still may take no such stand at all and accept quantum mechanics simply as a powerful toolbox with which to make predictions about experime ...
... positivist view along with Bohr and claim that one cannot meaningfully talk about what nature is really like but only about the outcomes of measurements. Others still may take no such stand at all and accept quantum mechanics simply as a powerful toolbox with which to make predictions about experime ...
PHY 302 PHY 322 PHY 341 PHY 435 Advanced Physics Laboratory
... The objective of this course is to introduce students to modern electronics, providing a thorough, comprehensive and practical coverage of electronic devices, circuits and applications. Laboratory experience is an essential part of the course. Most of the lectures will describe how a variety of basi ...
... The objective of this course is to introduce students to modern electronics, providing a thorough, comprehensive and practical coverage of electronic devices, circuits and applications. Laboratory experience is an essential part of the course. Most of the lectures will describe how a variety of basi ...
... therefore come as a surprise to learn that quantum mechanical calculations are now routinely carried out to predict accurately the physical and chemical properties of systems containing many hundreds of atoms. These calculations can predict properties such as bond-lengths, phonon frequencies, elasti ...
Lecture “Quantum Information” WS 16/17 — Exercise Sheet #3
... Suppose |ψi can be transformed to |φi by LOCC. A general LOCC protocol can involve an arbitrary number of rounds of measurement and classical communication. In this problem, we will show that any LOCC protocol can be realized in a single round with only one-way communication, i.e., a protocol involv ...
... Suppose |ψi can be transformed to |φi by LOCC. A general LOCC protocol can involve an arbitrary number of rounds of measurement and classical communication. In this problem, we will show that any LOCC protocol can be realized in a single round with only one-way communication, i.e., a protocol involv ...
Effect of nitrogen on the diamagnetic
... susceptibility increases with magnetic field for a given nitrogen concentration y. Since it is known that in the presence of the magnetic field the donor electron has an additional geometric confinement in the (x-y) plane, the electron wave function is more concentrated around the impurity ion and t ...
... susceptibility increases with magnetic field for a given nitrogen concentration y. Since it is known that in the presence of the magnetic field the donor electron has an additional geometric confinement in the (x-y) plane, the electron wave function is more concentrated around the impurity ion and t ...
A Quantum-Like Protectorate in the Brain
... quantum-like protectorate. Soon after a moment of consciousness is generated and evolves into another one, the results of Ca++ quantum communication/computation determine in each neuron the conformational state of Calmodulin-Dependent Protein Kinases, by means of the interaction of the Ca++ ions wit ...
... quantum-like protectorate. Soon after a moment of consciousness is generated and evolves into another one, the results of Ca++ quantum communication/computation determine in each neuron the conformational state of Calmodulin-Dependent Protein Kinases, by means of the interaction of the Ca++ ions wit ...
Abstracts Escuela de Fisica Matematica 2015, Universidad de los
... established an exact mapping between anyons and bosons in one-dimension. Using the density matrix renormalization group method we studied the system properties, we presented the phase diagram for density ρ = 1 with some angles, the quantum transition is from Mott insulator to Superfluid phase, the M ...
... established an exact mapping between anyons and bosons in one-dimension. Using the density matrix renormalization group method we studied the system properties, we presented the phase diagram for density ρ = 1 with some angles, the quantum transition is from Mott insulator to Superfluid phase, the M ...
Ideal n-body correlations with massive particles
... anisotropic trap. As discussed in Refs. [2] and [22], this occurs due to the saturation of population in the transversely excited states – hence the term ‘transverse condensation’. Our measurements of the transverse properties of the gas, including the fraction of the atoms in the transverse ground ...
... anisotropic trap. As discussed in Refs. [2] and [22], this occurs due to the saturation of population in the transversely excited states – hence the term ‘transverse condensation’. Our measurements of the transverse properties of the gas, including the fraction of the atoms in the transverse ground ...
What is a quantum simulator?
... This condition ensures there is always a single-particle basis in which dephasing would have no effect. This invariance under dephasing is a common way to define classicality [52]. The condition also disallows entanglement between different singleparticle modes, as would be expected for a condition ...
... This condition ensures there is always a single-particle basis in which dephasing would have no effect. This invariance under dephasing is a common way to define classicality [52]. The condition also disallows entanglement between different singleparticle modes, as would be expected for a condition ...
Random non-local games
... If Aij – random, Aijuivj – also random. Sum of independent random variables; Sum exceeds 1.65... N √N for any ui, vj, with probability o(1/4n). 4N choices of ui, vj. Sum exceeds 1.65... N √N for at least one of them with probability o(1). ...
... If Aij – random, Aijuivj – also random. Sum of independent random variables; Sum exceeds 1.65... N √N for any ui, vj, with probability o(1/4n). 4N choices of ui, vj. Sum exceeds 1.65... N √N for at least one of them with probability o(1). ...
Three principles for canonical quantum gravity - Philsci
... constraint algebra, 3) local Lorentz invariance. We illustrate each of them with its role in model calculations in loop quantum gravity. ...
... constraint algebra, 3) local Lorentz invariance. We illustrate each of them with its role in model calculations in loop quantum gravity. ...
Presentation - Quantum History Project
... published the modern Hilbert space formalism of quantum mechanics. Central to both formalisms are expressions for conditional probabilities of finding some value for one observable given the value of another. Beyond that Jordan and von Neumann had very different views about the appropriate formulati ...
... published the modern Hilbert space formalism of quantum mechanics. Central to both formalisms are expressions for conditional probabilities of finding some value for one observable given the value of another. Beyond that Jordan and von Neumann had very different views about the appropriate formulati ...
Parallel Universes
... rotates in an abstract infinite-dimensional space called Hilbert space. Although quantum mechanics is often described as inherently random and uncertain, the wave function evolves in a deterministic way. There is nothing random or uncertain about it. The sticky part is how to connect this wave funct ...
... rotates in an abstract infinite-dimensional space called Hilbert space. Although quantum mechanics is often described as inherently random and uncertain, the wave function evolves in a deterministic way. There is nothing random or uncertain about it. The sticky part is how to connect this wave funct ...