Fractional quantum Hall effect in optical lattices
... Strongly correlated quantum gases can be a good alternative where the systems are more controllable and impurities are not present. Therefore, realization of fractional quantum Hall 共FQH兲 states in atomic gases can be a promising resource for topological quantum computations in the future. As noted ...
... Strongly correlated quantum gases can be a good alternative where the systems are more controllable and impurities are not present. Therefore, realization of fractional quantum Hall 共FQH兲 states in atomic gases can be a promising resource for topological quantum computations in the future. As noted ...
Quantum walk search on satisfiability problems random
... problems [22] . Important applications include solving a variety of graph theory problems, the fastest known tests of primality, and solving boolean satisfiability problems. Similarly, random walks and Brownian motion are at the core of statistical mechanics. Random walks have a clear appeal to both ...
... problems [22] . Important applications include solving a variety of graph theory problems, the fastest known tests of primality, and solving boolean satisfiability problems. Similarly, random walks and Brownian motion are at the core of statistical mechanics. Random walks have a clear appeal to both ...
Isolation of the Conceptual Ingredients of Quantum Theory by Toy
... ingredients can systematically be chosen to fully reproduce the mystery cake, and now by construction an accurate recipe is known. A toy theory is like a toy cake. It does not attempt to make statements about reality that might stand up to testing: any desirable qualities like this are purely coinci ...
... ingredients can systematically be chosen to fully reproduce the mystery cake, and now by construction an accurate recipe is known. A toy theory is like a toy cake. It does not attempt to make statements about reality that might stand up to testing: any desirable qualities like this are purely coinci ...
Nonlinear response of a driven vibrating nanobeam in the quantum...
... dynamical variable which moves in an anharmonic potential. Depending on the strain being below ( < c ) or above ( > c ) the critical value, a monostable or bistable situation can be created. The conditions for macroscopic quantum tunnelling to occur have been estimated for the bistable case. I ...
... dynamical variable which moves in an anharmonic potential. Depending on the strain being below ( < c ) or above ( > c ) the critical value, a monostable or bistable situation can be created. The conditions for macroscopic quantum tunnelling to occur have been estimated for the bistable case. I ...
There is entanglement in the primes
... Theory that explains its relevance for Pure Mathematics [1, 2]. However, we do not know of any fundamental physical theory that is based on deep facts in Number Theory [3]. In spite of this, there have been several attempts in the past to provide a physical meaning to prime numbers, with the hope th ...
... Theory that explains its relevance for Pure Mathematics [1, 2]. However, we do not know of any fundamental physical theory that is based on deep facts in Number Theory [3]. In spite of this, there have been several attempts in the past to provide a physical meaning to prime numbers, with the hope th ...
Hidden Variables and Nonlocality in Quantum Mechanics
... behind such doubts. The first concerns certain mathematical theorems (von Neumann’s, Gleason’s, Kochen and Specker’s, and Bell’s) which can be applied to the hidden variables issue. These theorems are often credited with proving that hidden variables are indeed ‘impossible’, in the sense that they c ...
... behind such doubts. The first concerns certain mathematical theorems (von Neumann’s, Gleason’s, Kochen and Specker’s, and Bell’s) which can be applied to the hidden variables issue. These theorems are often credited with proving that hidden variables are indeed ‘impossible’, in the sense that they c ...
General randomness amplification with non
... less random than our experiences suggest. For instance, where a spinning roulette will stop can be perfectly predicted by a party who knows the mechanical parameters of the device. In fact, even the very existence of randomness is not clear. The philosophical debate between determinism and indetermi ...
... less random than our experiences suggest. For instance, where a spinning roulette will stop can be perfectly predicted by a party who knows the mechanical parameters of the device. In fact, even the very existence of randomness is not clear. The philosophical debate between determinism and indetermi ...
Correlaciones en Mecánica Cuántica
... information theory, giving rise to one of the most studied topics in the area and whose objective is to develop different methods to quantify such correlations. Entanglement [1, 2] is perhaps the kind of quantum correlations more known and studied and since it was first described by Einstein, Podolsk ...
... information theory, giving rise to one of the most studied topics in the area and whose objective is to develop different methods to quantify such correlations. Entanglement [1, 2] is perhaps the kind of quantum correlations more known and studied and since it was first described by Einstein, Podolsk ...
Entropic Inference and the Foundations of Physics
... of there being life in Mars. Are we to imagine an ensemble of Mars planets and solar systems? In these cases the ensemble would be purely hypothetical. It offers no possibility of an empirical determination of a relative frequency and this defeats the original goal of providing an objective operatio ...
... of there being life in Mars. Are we to imagine an ensemble of Mars planets and solar systems? In these cases the ensemble would be purely hypothetical. It offers no possibility of an empirical determination of a relative frequency and this defeats the original goal of providing an objective operatio ...
Experimental one-way quantum computing
... Standard quantum computation is based on sequences of unitary quantum logic gates that process qubits. The one-way quantum computer proposed by Raussendorf and Briegel is entirely different. It has changed our understanding of the requirements for quantum computation and more generally how we think ...
... Standard quantum computation is based on sequences of unitary quantum logic gates that process qubits. The one-way quantum computer proposed by Raussendorf and Briegel is entirely different. It has changed our understanding of the requirements for quantum computation and more generally how we think ...
Experimental Realization of a Simple Entangling Optical Gate for
... solutions are outlined in Chapter 6. A short outlook for future experiments is given and their realization briefly discussed (Chapter 7) before further investigation on mode-mismatch effects is presented in Chapter 8. This experiment employs quantum teleportation and after a short theoretical introd ...
... solutions are outlined in Chapter 6. A short outlook for future experiments is given and their realization briefly discussed (Chapter 7) before further investigation on mode-mismatch effects is presented in Chapter 8. This experiment employs quantum teleportation and after a short theoretical introd ...
PDF Book "PHYSICS I: Oscillations and Waves"
... students. Starting with oscillations in general, the book moves to interference and diffraction phenomena of waves and concludes with elementary applications of Schrödinger’s wave equation in quantum mechanics. Authors have attempted a simplified presentation of the essential topics rather than tak ...
... students. Starting with oscillations in general, the book moves to interference and diffraction phenomena of waves and concludes with elementary applications of Schrödinger’s wave equation in quantum mechanics. Authors have attempted a simplified presentation of the essential topics rather than tak ...
Nonequilibrium quantum fluctuations of a dispersive medium: Spontaneous emission, photon statistics,
... the environment are at different temperatures. For the sake of simplicity and clarity, we start with a toy model based on a scalar field in Sec. II and postpone the full discussion of electrodynamics to Sec. III. Readers interested only in the electromagnetic case may wish to skip the pedagogical Se ...
... the environment are at different temperatures. For the sake of simplicity and clarity, we start with a toy model based on a scalar field in Sec. II and postpone the full discussion of electrodynamics to Sec. III. Readers interested only in the electromagnetic case may wish to skip the pedagogical Se ...
Uncertainty relation between angle and orbital angular momentum
... as the position uncertainty ∆Q was defined. The uncertainty relation between angle and orbital angular momentum is a longstanding issue in physics. Many people have proposed other definitions of the angle uncertainty and have formulated several versions of the uncertainty relation between angle and ...
... as the position uncertainty ∆Q was defined. The uncertainty relation between angle and orbital angular momentum is a longstanding issue in physics. Many people have proposed other definitions of the angle uncertainty and have formulated several versions of the uncertainty relation between angle and ...
Unconditionally Secure Quantum Signatures
... Roughly speaking, then, if a message can be correctly decrypted using the public key belonging to a particular sender, then it follows that the message must have been encrypted using the private key for that sender; hence that the message originated from this sender and has not been altered. Any hon ...
... Roughly speaking, then, if a message can be correctly decrypted using the public key belonging to a particular sender, then it follows that the message must have been encrypted using the private key for that sender; hence that the message originated from this sender and has not been altered. Any hon ...
Statistical Mechanics to Disordered Quantum Optimization
... are straightforward. This leads to the study of typical-case complexity for random ensembles of NP-complete problems – ensembles which bear many of the features of mean field spin glasses. We will review some of the qualitative features of this connection in the context of classical optimization. In ...
... are straightforward. This leads to the study of typical-case complexity for random ensembles of NP-complete problems – ensembles which bear many of the features of mean field spin glasses. We will review some of the qualitative features of this connection in the context of classical optimization. In ...
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.