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“Formal” vs. “Empirical” Approaches to Quantum
“Formal” vs. “Empirical” Approaches to Quantum

... into Schrodinger’s equation, one arrives at the result that the phase S(x, t) satisfies the classical Hamilton-Jacobi equation in the limit ~ → 0, and concludes that “not surprisingly, in the ~ → 0 limit, classical mechanics is contained in Schrodinger’s wave mechanics” [16]. It is not clear whether ...
Quantum Mechanics - Home Page for Richard Fitzpatrick
Quantum Mechanics - Home Page for Richard Fitzpatrick

arXiv:1312.4758v2 [quant-ph] 10 Apr 2014
arXiv:1312.4758v2 [quant-ph] 10 Apr 2014

... QM A-completeness has been used to characterize the complexity of many computational problems in quantum physics. (A number of other QM A-complete problems are given in [6].) But some natural physical problems seem to have a complexity that is slightly above QM A. For example, one such problem is e ...
An introduction to Quantum Complexity
An introduction to Quantum Complexity

... BQP is closed under intersection (and union) ...
Introduction to Quantum Fields in Curved Spacetime
Introduction to Quantum Fields in Curved Spacetime

Two-resonator circuit quantum electrodynamics: Dissipative theory
Two-resonator circuit quantum electrodynamics: Dissipative theory

... external circuitry and internal losses. Our effective description does not cover the so-called excess phase noise though, i.e., low-frequency fluctuations in the resonator frequency itself, which originate from the surface fluctuators as well. As it was pointed out and investigated experimentally,43 ...
The density-matrix renormalization group in the age of matrix
The density-matrix renormalization group in the age of matrix

slides
slides

... atoms.    In  its  ground  state,  calcium  40  has  two  valence  electrons  outside  a  closed   shell  with  their  spins  oppositely  aligned,  so  that  the  total  angular  momentum  (spin   plus  orbital)  of  this  state  is ...
Universal formalism of Fano resonance
Universal formalism of Fano resonance

... the arms.15,16 With a changing magnetic field, q oscillates, which was explained28 but again by using the single-channel scattering model. Later, it was shown that for multi-channel scattering, q is in general complex even when TRS is NOT broken.29 It was also proposed27 that the complex q parameter ...
Geometry and Dynamics of a Quantum Search
Geometry and Dynamics of a Quantum Search

Operator Guide Standard Model
Operator Guide Standard Model

... mechanics textbooks, density operators (or density matrices) are derived from spinors. We reverse this, and derive spinors from the density operators. Thus density operators are at least equal to spinors as candidate foundations for quantum mechanics. But we intend on showing more; that the density ...
Quantum computing: An IBM perspective
Quantum computing: An IBM perspective

... significantly contributed to this field, with the implementation of a three-qubit quantum search algorithm [32], a five-qubit order-finding algorithm [33], the realization of an adiabatic quantum optimization algorithm [34], and a demonstration of Shor’s factoring algorithm [35] (factoring the number 15 ...
Spin Algebra, Spin Eigenvalues, Pauli Matrices Lecture 10
Spin Algebra, Spin Eigenvalues, Pauli Matrices Lecture 10

... But bbot (a) must be smaller than btop (a), so only the second solution works. Therefore bbot (a) = −btop (a). Hence b, which is the eigenvalue of Sz , ranges from −btop (a) to btop (a). Furthermore, since S− lowers this value by ~ each time it is applied, these two values must differ by an integer ...
Centre for Logic and Philosophy of Science
Centre for Logic and Philosophy of Science

... numbers, the former standing for classical numbers, the latter for quantum, or queer, numbers. But then what does correspond in quantum mechanics to classical quantities like position? That is, how are the q–numbers associated with physical quantities, apart from giving right predictions about emitt ...
Quantum Information Chapter 10. Quantum Shannon Theory
Quantum Information Chapter 10. Quantum Shannon Theory

... but there is a lot we won’t cover. For example, we will mostly consider information theory in an asymptotic setting, where the same quantum channel or state is used arbitrarily many times, thus focusing on issues of principle rather than more practical questions about devising efficient protocols. ...
Models of wave-function collapse
Models of wave-function collapse

... because of uncertainty in our knowledge of the initial state of the system. Thus the status of probabilities in quantum theory is absolutely unique, and besides explaining the absence of macroscopic superpositions one must also explain why during a measurement probabilities arise, in violation of de ...
Physical Limits of Computing - UF CISE
Physical Limits of Computing - UF CISE

7. INTEGRAL CURVES OF A SPIRAL VECTOR FIELD IN En Author: E. B. Koc Ozturk, U. Ozturk, Y. Yayli, S. Ozkaldi
7. INTEGRAL CURVES OF A SPIRAL VECTOR FIELD IN En Author: E. B. Koc Ozturk, U. Ozturk, Y. Yayli, S. Ozkaldi

... = X( (t)) ; 8t 2 I holds true, then the curve is called an integral curve of the vector …eld X ([3]). Let V be a vector space over R of dimension n. A vector …eld X on V is called linear if Xv = A(v), 8v 2 V , where A is a linear mapping from V into V [3]. Let A be a linear mapping given skew-symmet ...
Classical field records of a quantum system: Their internal
Classical field records of a quantum system: Their internal

Quasidistributions in nonlinear quantum optics
Quasidistributions in nonlinear quantum optics

and quantum properties - Hal-SHS
and quantum properties - Hal-SHS

... probability for this state. Such a formulation avoids (and even rejects) the association of a definite physical quantity to a given system, except for quantities obeying a superselection condition (corresponding to one unique value determination) : a quantum system can only have a probability for a ...
full text
full text

... physically meaningful global quantum numbers. Of course, as a matter of convenience all wave functions can be labeled continuously using j (or n) if the labels are chosen differently for l ⬎ 0 and l ⬍ 0. The energy of the states in the resulting multiplets does not depend smoothly on such labels and ...
Adiabatic Quantum State Generation and Statistical Zero Knowledge
Adiabatic Quantum State Generation and Statistical Zero Knowledge

... can be reduced to quantum sampling. Most problems that were considered good candidates for BQP, such as discrete log (DLOG), quadratic residuosity, approximating closest and shortest vectors in a lattice, graph isomorphism and more, belong to the complexity class statistical zero knowledge, or SZK ( ...
Nonequilibrium entropy production in open and closed quantum
Nonequilibrium entropy production in open and closed quantum

... At its origins the theory of thermodynamics was developed to understand and improve heat engines. Hence, special interest lies on the dynamical properties of energy conversion processes. However, the original theory was only able to predict the behavior of physical systems by considering their macro ...
Commun. Math. Phys. 110, 33-49
Commun. Math. Phys. 110, 33-49

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Density matrix

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