Quantum gravity without gravitons in a superfluid quantum space.
... is for instance evident when trying to bring together two magnets that repel each other. Therefore, the vortex geometry (horn torus or ring torus) would be the deciding factor for having a charged or neutral particle. It is however presumable that the torus geometry of a charged particle will have o ...
... is for instance evident when trying to bring together two magnets that repel each other. Therefore, the vortex geometry (horn torus or ring torus) would be the deciding factor for having a charged or neutral particle. It is however presumable that the torus geometry of a charged particle will have o ...
Mathematical Aspects of Quantum Theory and Quantization Summer
... dimension and therefore take different numerical values for different systems of units. One has basic units of length [L], mass [M], time [T], etc.. Other quantities have derived dimensions, like velocity with the dimension [LT−1 ], linear momentum with [MLT−1 ], energy with [ML2 T−2 ]. Sometimes ot ...
... dimension and therefore take different numerical values for different systems of units. One has basic units of length [L], mass [M], time [T], etc.. Other quantities have derived dimensions, like velocity with the dimension [LT−1 ], linear momentum with [MLT−1 ], energy with [ML2 T−2 ]. Sometimes ot ...
Full text in PDF form
... In this paper, we also consider the issue of causality at the Planck scale in the framework of causal sets, although our results do not promote this aspect as decisively as in [12]. In our opinion, the very concept of causality makes sense in the quasi-classical limit, in relation with the fact that ...
... In this paper, we also consider the issue of causality at the Planck scale in the framework of causal sets, although our results do not promote this aspect as decisively as in [12]. In our opinion, the very concept of causality makes sense in the quasi-classical limit, in relation with the fact that ...
Superconducting Circuits and Quantum Computation
... Evan Moran Here we use superconducting circuits as components for quantum computing and as model systems for non-linear dynamics. Quantum computation holds the potential to solve problems currently intractable with today’s computers. Information in a quantum computer is stored on quantum variables, ...
... Evan Moran Here we use superconducting circuits as components for quantum computing and as model systems for non-linear dynamics. Quantum computation holds the potential to solve problems currently intractable with today’s computers. Information in a quantum computer is stored on quantum variables, ...
Second quantization of the elliptic Calogero
... complete solution was found about 30 years ago [Su]. This explicit solution plays a central role in remarkably many different topics in theoretical physics including matrix models, quantum chaos, QCD, and two dimensional quantum gravity (for review see, e.g., Ref. [G], Sect. 7). There is also an int ...
... complete solution was found about 30 years ago [Su]. This explicit solution plays a central role in remarkably many different topics in theoretical physics including matrix models, quantum chaos, QCD, and two dimensional quantum gravity (for review see, e.g., Ref. [G], Sect. 7). There is also an int ...
Quantum Computing and Communications
... the most manageable or etc. Hence error analysis must be kept always in the focus of investigations. All these endeavors are motivated by the fact that engineers should learn how to design new practical solutions. We always had this philosophy in sight when ...
... the most manageable or etc. Hence error analysis must be kept always in the focus of investigations. All these endeavors are motivated by the fact that engineers should learn how to design new practical solutions. We always had this philosophy in sight when ...
EXPONENTIAL SEPARATION OF QUANTUM AND CLASSICAL
... on Locally Decodable Codes [11]. Let us give the intuition why this problem is hard for classical communication complexity protocols. Suppose (to make the problem even easier) that Bob’s matching M is restricted to be one of n fixed disjoint matchings on x. Bob’s goal is to find the value of xi ⊕ xj ...
... on Locally Decodable Codes [11]. Let us give the intuition why this problem is hard for classical communication complexity protocols. Suppose (to make the problem even easier) that Bob’s matching M is restricted to be one of n fixed disjoint matchings on x. Bob’s goal is to find the value of xi ⊕ xj ...
PPT - Fernando GSL Brandao
... NP is the class of problems for which one can check the correctness of a potential efficiently (in polynomial time) E.g. Factoring: Given N, find a number that divides it, The million dollars question: N=mxq E.g. Graph Coloring:Is Given P =a graph NP?and k colors, color the graph such that no two ne ...
... NP is the class of problems for which one can check the correctness of a potential efficiently (in polynomial time) E.g. Factoring: Given N, find a number that divides it, The million dollars question: N=mxq E.g. Graph Coloring:Is Given P =a graph NP?and k colors, color the graph such that no two ne ...
Quantum heat engine with multilevel quantum systems
... shows by how much Th should be greater than Tl such that the positive work can be extracted. This constraints about temperatures is obviously counterintuitively different from that of a classical heat engine. Now we wonder whether it is a universal condition for all multilevel QHE. Actually Kieu has ...
... shows by how much Th should be greater than Tl such that the positive work can be extracted. This constraints about temperatures is obviously counterintuitively different from that of a classical heat engine. Now we wonder whether it is a universal condition for all multilevel QHE. Actually Kieu has ...
spins_unit_schrodinger_time_evolution
... Principle, and the Quantum Measurement Problem” by Kinjalk Lochan and T.P. Singh atTata Institute, ...
... Principle, and the Quantum Measurement Problem” by Kinjalk Lochan and T.P. Singh atTata Institute, ...
Hybrid discrete- and continuous
... the motional state of a trapped ion through the application of a sequence of Raman laser pulses and the interaction with its spin degree of freedom [22]. Cat states have also been generated by entangling a standing CV microwave field to a flying Rydberg atom followed by a projective DV measurement o ...
... the motional state of a trapped ion through the application of a sequence of Raman laser pulses and the interaction with its spin degree of freedom [22]. Cat states have also been generated by entangling a standing CV microwave field to a flying Rydberg atom followed by a projective DV measurement o ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.