Quantum Computing
... Deutsch developed a notion of a quantum mechanical Turing machine. Bernstein, Vazirani, and Yao showed that quantum computers can do anything a classical computer can do with at most a small (logarithmic) slow down. The early 1990s saw the first truly quantum algorithms, algorithms with no classica ...
... Deutsch developed a notion of a quantum mechanical Turing machine. Bernstein, Vazirani, and Yao showed that quantum computers can do anything a classical computer can do with at most a small (logarithmic) slow down. The early 1990s saw the first truly quantum algorithms, algorithms with no classica ...
Optomechanics
... l What is the frequency response of the output field (i.e. the output optical susceptibility)? l How significant are the fluctuations entering the output field through loss and the mechanical oscillator?, and, can they be suppressed with sufficiently high cooperativity (C)? ...
... l What is the frequency response of the output field (i.e. the output optical susceptibility)? l How significant are the fluctuations entering the output field through loss and the mechanical oscillator?, and, can they be suppressed with sufficiently high cooperativity (C)? ...
Field Theory and Standard Model
... strength characterised by ω 2 . Classically, H is simply the sum of kinetic and potential energy. In the quantum system, we can define new operators as linear combinations of p and q: ...
... strength characterised by ω 2 . Classically, H is simply the sum of kinetic and potential energy. In the quantum system, we can define new operators as linear combinations of p and q: ...
Could light harvesting complexes exhibit non
... to conclude once and for all that the quantum biological models are the correct models simply because they coincide with the observations of some experiments (Leggett (2002, 2008) stresses this point in several of his papers). It would be useful to irrevocably exclude certain classes of classical mo ...
... to conclude once and for all that the quantum biological models are the correct models simply because they coincide with the observations of some experiments (Leggett (2002, 2008) stresses this point in several of his papers). It would be useful to irrevocably exclude certain classes of classical mo ...
ψ ε
... non-relativistic many-boson theories is studied in space dimension d > 3. In [56], the case of a short range potential (Assumption 1.1) is considered, with asymptotic states under the form of semi-classically concentrated functions, ...
... non-relativistic many-boson theories is studied in space dimension d > 3. In [56], the case of a short range potential (Assumption 1.1) is considered, with asymptotic states under the form of semi-classically concentrated functions, ...
Monte Carlo Probabilistic Inference for Diffusion Processes: A
... a probability density function as a function of (ψ, v) with respect to the product measure Leb(dv) × Q(dψ; , ti , ti+1 , u, v), where Leb denotes the Lebesgue measure. Consider now an alternative discrete-time Markov model with unobserved states (Vi , Ψi ), i = 1, . . . , n, transition density r and ...
... a probability density function as a function of (ψ, v) with respect to the product measure Leb(dv) × Q(dψ; , ti , ti+1 , u, v), where Leb denotes the Lebesgue measure. Consider now an alternative discrete-time Markov model with unobserved states (Vi , Ψi ), i = 1, . . . , n, transition density r and ...
De finetti theorems, mean-field limits and bose
... of intrinsic mathematical interest. One may use essentially two approaches: • The first one exploits particular properties of certain important physical models. It thus applies differently to different models, and under often rather restrictive assumptions, in particular as regards the shape of the ...
... of intrinsic mathematical interest. One may use essentially two approaches: • The first one exploits particular properties of certain important physical models. It thus applies differently to different models, and under often rather restrictive assumptions, in particular as regards the shape of the ...
p15_11_6.pdf
... yet: propagation with this contraction-consistent reconstruction violated N-representability, another fundamental set of conditions that wreak havoc if not satisfied. Ref. [17] showed that contraction-consistency, and energy conservation, can be enforced if both 1RDM and 2RDM are propagated simultan ...
... yet: propagation with this contraction-consistent reconstruction violated N-representability, another fundamental set of conditions that wreak havoc if not satisfied. Ref. [17] showed that contraction-consistency, and energy conservation, can be enforced if both 1RDM and 2RDM are propagated simultan ...
pdf - VUB
... The problem is not solved using techniques from fuzzy set mathematics such as the minimum rule model, where the typicality of a conjunction (conjunction typicality) equals the minimum of the typicalities of the two constituent concepts (Zadeh 1965, 1982). (For example, the typicality rating for pet ...
... The problem is not solved using techniques from fuzzy set mathematics such as the minimum rule model, where the typicality of a conjunction (conjunction typicality) equals the minimum of the typicalities of the two constituent concepts (Zadeh 1965, 1982). (For example, the typicality rating for pet ...
Introduction CHAPTER 1
... ^ are the complex amplitudes of E and H for harmonic oscillations E^ and H with frequency v: These complex functions are also known as phasors.1 Note that the number of scalar equations (1.1.41) in three dimensions ^ satisfies the scalar Helmholtz is six (each Cartesian component of E^ or H equation ...
... ^ are the complex amplitudes of E and H for harmonic oscillations E^ and H with frequency v: These complex functions are also known as phasors.1 Note that the number of scalar equations (1.1.41) in three dimensions ^ satisfies the scalar Helmholtz is six (each Cartesian component of E^ or H equation ...
WORMHOLES WITH A PAST* 1. Introduction Although as physicists
... We have assumed that the initial and final states are described by narrow wave packets with the same peak energy E 0. There exist a set of conditions on f ( E ) and the potential V which assure that this is the case, but they are stronger than those needed to assure the validity of the WKB approxima ...
... We have assumed that the initial and final states are described by narrow wave packets with the same peak energy E 0. There exist a set of conditions on f ( E ) and the potential V which assure that this is the case, but they are stronger than those needed to assure the validity of the WKB approxima ...
Abstract PACS: 03.67.Bg, 04.80.Nn, 42.50.Pq, 37.10.Vz Email
... observatory(LIGO)[25,26]. Cooling mirror via interaction between cavity field and the mirror nearly to ground state has been studied by many authors[27-38]. In this article we adopt a new angle of view and study the oscillations effects of the massive plates on the entanglement between two two-level ...
... observatory(LIGO)[25,26]. Cooling mirror via interaction between cavity field and the mirror nearly to ground state has been studied by many authors[27-38]. In this article we adopt a new angle of view and study the oscillations effects of the massive plates on the entanglement between two two-level ...
Lagrange`s Equations
... Section 7.6, I introduce the curious terminology of "ignorable coordinates." Finally, after some summarizing remarks in Section 7.7, the chapter concludes with three sections on topics which, although very important, could be omitted on a first reading. In Section 7.8, I discuss how the laws of ener ...
... Section 7.6, I introduce the curious terminology of "ignorable coordinates." Finally, after some summarizing remarks in Section 7.7, the chapter concludes with three sections on topics which, although very important, could be omitted on a first reading. In Section 7.8, I discuss how the laws of ener ...
When is an area law not an area law?
... In other words, it produces the d = 1 wave equation with m2 + p2 playing the role of m2 . The important thing to notice here is that, with the sole exception of p = 0, we are always in the massive (gapped) case, even when the field overall is massless. Now a massive free field in d = 1 is one of the ...
... In other words, it produces the d = 1 wave equation with m2 + p2 playing the role of m2 . The important thing to notice here is that, with the sole exception of p = 0, we are always in the massive (gapped) case, even when the field overall is massless. Now a massive free field in d = 1 is one of the ...
Quantum hair on black holes
... inside the horizon is causally disconnected from the exterior of the black hole, the occurrence of truly large curvature near the singularity inside the horizon is not directly relevant to the physics seen by external observers, and the higher-order corrections to the effective lagrangian may be neg ...
... inside the horizon is causally disconnected from the exterior of the black hole, the occurrence of truly large curvature near the singularity inside the horizon is not directly relevant to the physics seen by external observers, and the higher-order corrections to the effective lagrangian may be neg ...
THE K-THEORY OF FREE QUANTUM GROUPS 1. Introduction A
... we adapt the construction of Kasparov and Skandalis in [14] for groups acting on buildings, and this is where certain quantum trees show up naturally. An important difference to the classical situation is that one has to work equivariantly with respect to the Drinfeld double D(G) of G. The quantum g ...
... we adapt the construction of Kasparov and Skandalis in [14] for groups acting on buildings, and this is where certain quantum trees show up naturally. An important difference to the classical situation is that one has to work equivariantly with respect to the Drinfeld double D(G) of G. The quantum g ...
Quantum Heat Engines and Refrigerators: Continuous Devices
... Our cars, refrigerators, air conditioners, lasers, and power plants are all examples of heat engines. The trend toward miniaturization has not skipped the realm of heat engines, leading to devices on the nano- or even on the atomic scale. Typically, in the practical world, all such devices operate f ...
... Our cars, refrigerators, air conditioners, lasers, and power plants are all examples of heat engines. The trend toward miniaturization has not skipped the realm of heat engines, leading to devices on the nano- or even on the atomic scale. Typically, in the practical world, all such devices operate f ...
Power of Quantum Computation with Few Clean Qubits
... proposed are unexpectedly powerful and are able to simultaneously reduce both computation error and the number of necessary clean qubits, providing an almost fully satisfying solution in the cases of one-sided bounded error. In the two-sided-error case, the methods in this paper are applicable only ...
... proposed are unexpectedly powerful and are able to simultaneously reduce both computation error and the number of necessary clean qubits, providing an almost fully satisfying solution in the cases of one-sided bounded error. In the two-sided-error case, the methods in this paper are applicable only ...