Basic Notions of Entropy and Entanglement
... pushing the partition back to the center, and then removing it while at the same time driving the indicator – if that indicator is frictionless and reversible! – back to its initial setting. ∆Spointer = − ln ...
... pushing the partition back to the center, and then removing it while at the same time driving the indicator – if that indicator is frictionless and reversible! – back to its initial setting. ∆Spointer = − ln ...
Quantum Structures
... relativistic formulations, to the concept of the Dirac sea of electrons, to a break between classical mechanics and quantum mechanics, to quantum field theory at a point, etc. We shall review the literature of the time showing what prominent physicists thought concerning these problems, as well as g ...
... relativistic formulations, to the concept of the Dirac sea of electrons, to a break between classical mechanics and quantum mechanics, to quantum field theory at a point, etc. We shall review the literature of the time showing what prominent physicists thought concerning these problems, as well as g ...
computational complexity for physicists - Otto-von
... ompared to the traditionally close relationship between physics and mathematics, an exchange of ideas and methods between physics and computer science barely exists. However, the few interactions that have gone beyond Fortran programming and the quest for faster computers have been successful and ha ...
... ompared to the traditionally close relationship between physics and mathematics, an exchange of ideas and methods between physics and computer science barely exists. However, the few interactions that have gone beyond Fortran programming and the quest for faster computers have been successful and ha ...
Quantum groups and integrable lattice models UMN Math Physics Seminar
... This operator (”R-matrix “) captures contributions of a single vertex to the partition function. Consider an (N + 1)-fold tensor product V0 ⊗ V1 ⊗ · · · ⊗ VN (Vi = V ) and let Rij be the operator acting on the Vi ⊗ Vj component of this product as R and as identity on any other Vl . ...
... This operator (”R-matrix “) captures contributions of a single vertex to the partition function. Consider an (N + 1)-fold tensor product V0 ⊗ V1 ⊗ · · · ⊗ VN (Vi = V ) and let Rij be the operator acting on the Vi ⊗ Vj component of this product as R and as identity on any other Vl . ...
A low-resource quantum factoring algorithm
... The new time complexity is asymptotically worse than Shor’s algorithm, but the qubit requirements are asymptotically better, so it may be possible to physically implement the new algorithm sooner than Shor’s algorithm. The fact that we use fewer qubits than Shor’s algorithm for all sufficiently larg ...
... The new time complexity is asymptotically worse than Shor’s algorithm, but the qubit requirements are asymptotically better, so it may be possible to physically implement the new algorithm sooner than Shor’s algorithm. The fact that we use fewer qubits than Shor’s algorithm for all sufficiently larg ...
Quantum Heat Engines and Refrigerators: Continuous Devices
... the nano- or even on the atomic scale. Typically, in the practical world, all such devices operate far from the maximum efficiency conditions set by Carnot (1). Real heat engines are optimized for powers sacrificing efficiency. This trade-off between efficiency and power is the focus of the field of finit ...
... the nano- or even on the atomic scale. Typically, in the practical world, all such devices operate far from the maximum efficiency conditions set by Carnot (1). Real heat engines are optimized for powers sacrificing efficiency. This trade-off between efficiency and power is the focus of the field of finit ...
Singularity of the time-energy uncertainty in adiabatic perturbation
... visualized by the number of perfect arcs of the cycloid. Finally, the exact cycloid, curtate and prolate cycloids on a Bloch sphere are generated by different initial states. Our results could be tested with a single qubit, a neutron, or light polarization, and could have important implications for ...
... visualized by the number of perfect arcs of the cycloid. Finally, the exact cycloid, curtate and prolate cycloids on a Bloch sphere are generated by different initial states. Our results could be tested with a single qubit, a neutron, or light polarization, and could have important implications for ...
Quantum Information Processing: Algorithms, Technologies and
... reif/paper/qsurvey/qsurvey.pdf. ...
... reif/paper/qsurvey/qsurvey.pdf. ...
Chapter 3: Quantum Computing
... except an upper bound is imposed on both the intensity to do the sensing (which again is an arbitrarily small multiplicative factor of the input intensity) whether or not the obstructing body is present. A quantum optical method for IFS (but not IFM) may be used to do I/O with bandwidth reduced by a ...
... except an upper bound is imposed on both the intensity to do the sensing (which again is an arbitrarily small multiplicative factor of the input intensity) whether or not the obstructing body is present. A quantum optical method for IFS (but not IFM) may be used to do I/O with bandwidth reduced by a ...
Mechanical Proof of the Second Law of Thermodynamics Based on
... initial one. It turns out that such proof is much easier in quantum mechanics rather than classical mechanics. Therefore we shall first quantize the Volume Entropy and then study its behavior under the action of a varying field, that is a time-dependent perturbation. The paper is organized as follow ...
... initial one. It turns out that such proof is much easier in quantum mechanics rather than classical mechanics. Therefore we shall first quantize the Volume Entropy and then study its behavior under the action of a varying field, that is a time-dependent perturbation. The paper is organized as follow ...
Electronic transport in graphene nanostructures on SiO
... Fig. 6. (Color online). Scanning gate image of the graphene qua ...
... Fig. 6. (Color online). Scanning gate image of the graphene qua ...
Centre for Logic and Philosophy of Science
... Since all classical quantities can be represented by real numbers, which of course satisfy a commutative rule of multiplication, this property looks very strange. Paul Dirac introduced the felicitous names of c–numbers and q– numbers, the former standing for classical numbers, the latter for quantum ...
... Since all classical quantities can be represented by real numbers, which of course satisfy a commutative rule of multiplication, this property looks very strange. Paul Dirac introduced the felicitous names of c–numbers and q– numbers, the former standing for classical numbers, the latter for quantum ...
Spectral And Dynamical Properties Of Strongly Correlated Systems
... approximations a large class of quantum systems. In particular, the existence of a deep connection between quantum mechanics and classical stochastic mechanics allows to map (and solve) a complex quantum problem of bosons into a corresponding classical stochastic problem. The application of Quantum ...
... approximations a large class of quantum systems. In particular, the existence of a deep connection between quantum mechanics and classical stochastic mechanics allows to map (and solve) a complex quantum problem of bosons into a corresponding classical stochastic problem. The application of Quantum ...
Full text in PDF form
... It is clear that this fact may be interpreted as follows: for the observer moving together with information its loss can occur only at the transition to smaller scales, i.e. to greater deformation parameter α. Now we consider the general Information Problem. Note that with the classical Quantum Mech ...
... It is clear that this fact may be interpreted as follows: for the observer moving together with information its loss can occur only at the transition to smaller scales, i.e. to greater deformation parameter α. Now we consider the general Information Problem. Note that with the classical Quantum Mech ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.