Physical systems for the solution of hard computational problems
... Figure 1.1: Likely structure of the NP problem class, taken from [58]. given NP-complete type in polynomial time, we could use this to solve any NPclass problem in polynomial time. For us, it means that we can focus on the task of designing a physical system to solve a particular NP-complete problem ...
... Figure 1.1: Likely structure of the NP problem class, taken from [58]. given NP-complete type in polynomial time, we could use this to solve any NPclass problem in polynomial time. For us, it means that we can focus on the task of designing a physical system to solve a particular NP-complete problem ...
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 ...
... 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 ...
Get PDF - OSA Publishing
... quantum multilevel system as long as the Hamiltonian lightmatter interaction term can be described in the rotatingwave approximation. Furthermore, the quantum multilevel system can be either in a cavity or directly coupled to a waveguide. Finally, the eigenstate of the ad hoc Hamiltonian turns out t ...
... quantum multilevel system as long as the Hamiltonian lightmatter interaction term can be described in the rotatingwave approximation. Furthermore, the quantum multilevel system can be either in a cavity or directly coupled to a waveguide. Finally, the eigenstate of the ad hoc Hamiltonian turns out t ...
Coherent manipulations of charge-number states in a Cooper-pair box Y. Nakamura,
... a large junction in which the charging effect is negligible, all the charge(-number) states are degenerate and, thus, form a one-dimensional tight-binding array in the charge space (Fig. 1(b)). As a result, the phase difference θ between the two superconductors, a conjugate variable to the charge numb ...
... a large junction in which the charging effect is negligible, all the charge(-number) states are degenerate and, thus, form a one-dimensional tight-binding array in the charge space (Fig. 1(b)). As a result, the phase difference θ between the two superconductors, a conjugate variable to the charge numb ...
Fast Field Cycling NMR Relaxometry
... We know with absolute certainty that the allowed spin-system transitions are subject to the selection rule Iz = ±1, where the z-axis is aligned with the external magnetic field B. Angular momentum conservation law therefore implies that a photon can only be emitted in the direction of the field B. ...
... We know with absolute certainty that the allowed spin-system transitions are subject to the selection rule Iz = ±1, where the z-axis is aligned with the external magnetic field B. Angular momentum conservation law therefore implies that a photon can only be emitted in the direction of the field B. ...
Studying Quantum Field Theory
... invariant subgroup N ⊂ P (with nilpotent Lie algebra) has only trivial finite dimensional IR. Thus the inducing representations of P are labeled precisely by the triple [d; j1 , j2 ] giving the IRs of R+ × SL(2, C) that characterize local fields. The second approach, appropriate to positive energy ( ...
... invariant subgroup N ⊂ P (with nilpotent Lie algebra) has only trivial finite dimensional IR. Thus the inducing representations of P are labeled precisely by the triple [d; j1 , j2 ] giving the IRs of R+ × SL(2, C) that characterize local fields. The second approach, appropriate to positive energy ( ...
On the equivalence between non-factorizable mixed
... have shown is that quantum strategies can result in outcomes that often defy our classical intuition. The emergent field of quantum game theory is rapidly growing [71]. Quantum game theory has two branches: (i) games based on quantum coin tossing that explore the theory of quantum walks, and (ii) st ...
... have shown is that quantum strategies can result in outcomes that often defy our classical intuition. The emergent field of quantum game theory is rapidly growing [71]. Quantum game theory has two branches: (i) games based on quantum coin tossing that explore the theory of quantum walks, and (ii) st ...
The Addition Theorem for Spherical Harmonics and Monopole
... u0 and v 0. The gauge factors just cancel out in the case of the spherical harmonics. This was the main content of [4]. Following their previous paper [3], Wu and Yang studied the addition theorem of the monople harmonics in [8]. The addition theorem is just a manifestation of the composition of two ...
... u0 and v 0. The gauge factors just cancel out in the case of the spherical harmonics. This was the main content of [4]. Following their previous paper [3], Wu and Yang studied the addition theorem of the monople harmonics in [8]. The addition theorem is just a manifestation of the composition of two ...
An equation for the waves - University College London
... Applies to any simple harmonic oscillator, including – Molecular vibrations – Vibrations in a solid (hence phonons) – Electromagnetic field modes (hence photons), even though this field does not obey exactly the same Schrődinger equation ...
... Applies to any simple harmonic oscillator, including – Molecular vibrations – Vibrations in a solid (hence phonons) – Electromagnetic field modes (hence photons), even though this field does not obey exactly the same Schrődinger equation ...
Mean-field limit of Bose systems: rigorous results
... the Gross-Pitaevskii equation (and of the associated Bogoliubov predictions) have stimulated many works in mathematical physics. Many authors have worked on deriving properties of solutions to the GP equation, with a particular focus on the vortices. A different route consists in trying to justify t ...
... the Gross-Pitaevskii equation (and of the associated Bogoliubov predictions) have stimulated many works in mathematical physics. Many authors have worked on deriving properties of solutions to the GP equation, with a particular focus on the vortices. A different route consists in trying to justify t ...
Phys. Rev. Lett. 98, 070602
... Confinement transition.—For the loop gas (1) the elementary electric charge excitations (end points of an open loop) are deconfined. For strong loop tension, however these excitations are expected to become confined, thereby eliminating all open loops. In our simulations this transition is studied b ...
... Confinement transition.—For the loop gas (1) the elementary electric charge excitations (end points of an open loop) are deconfined. For strong loop tension, however these excitations are expected to become confined, thereby eliminating all open loops. In our simulations this transition is studied b ...
Pasechnik
... As a result the relations (**) get no the perturbative corrections from gluon exchanges The anomaly is expressed only through ...
... As a result the relations (**) get no the perturbative corrections from gluon exchanges The anomaly is expressed only through ...
Properties
... Classical Communication Local operations act on A and one set of N qubits. Or B and the other set. ...
... Classical Communication Local operations act on A and one set of N qubits. Or B and the other set. ...
Toward Quantum Computational Agents.
... to classical computers imposed by the fundamental law of thermodynamics. According to Gordon Moore’s first law on the growth rate of classical computing power, and the current advances in silicon technology, it is commonly expected that these limits will be reached around 2020. By then, the size of m ...
... to classical computers imposed by the fundamental law of thermodynamics. According to Gordon Moore’s first law on the growth rate of classical computing power, and the current advances in silicon technology, it is commonly expected that these limits will be reached around 2020. By then, the size of m ...
Introduction to Quantum Computing (2010) (e-book)
... group algebra. A general theory of anyons and topological quantum order is lacking. 2) It is also desirable to formulate and prove some theorem about existence and the number of local degrees of freedom. (It seems that the local degrees of freedom are a sign that anyons arise from a system with no s ...
... group algebra. A general theory of anyons and topological quantum order is lacking. 2) It is also desirable to formulate and prove some theorem about existence and the number of local degrees of freedom. (It seems that the local degrees of freedom are a sign that anyons arise from a system with no s ...
Bell's theorem
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Bell's theorem is a ‘no-go theorem’ that draws an important distinction between quantum mechanics (QM) and the world as described by classical mechanics. This theorem is named after John Stewart Bell.In its simplest form, Bell's theorem states:Cornell solid-state physicist David Mermin has described the appraisals of the importance of Bell's theorem in the physics community as ranging from ""indifference"" to ""wild extravagance"". Lawrence Berkeley particle physicist Henry Stapp declared: ""Bell's theorem is the most profound discovery of science.""Bell's theorem rules out local hidden variables as a viable explanation of quantum mechanics (though it still leaves the door open for non-local hidden variables). Bell concluded:Bell summarized one of the least popular ways to address the theorem, superdeterminism, in a 1985 BBC Radio interview: