Commun. Math. Phys. 227, 605 (2002).
... (with some additional structures detailed below) a complex vector space V () and to a diffeomorphism of the surface (preserving structures) a linear map of V (). In the cases considered here V () always has a positive definite Hermitian inner product , h and the induced linear maps preserve ...
... (with some additional structures detailed below) a complex vector space V () and to a diffeomorphism of the surface (preserving structures) a linear map of V (). In the cases considered here V () always has a positive definite Hermitian inner product , h and the induced linear maps preserve ...
Document
... |F(, where K is a unitary or antiunitary operator. Then using linearity and antilinearity of the operation it is straight forward to prove. Then consider K as a combination (linear) unitary and anti-unitary operator and prove the ...
... |F(, where K is a unitary or antiunitary operator. Then using linearity and antilinearity of the operation it is straight forward to prove. Then consider K as a combination (linear) unitary and anti-unitary operator and prove the ...
Zeno dynamics in quantum open systems
... states[14, 15]. QZE has become a focus of attention not only because it can be applied in robust quantum information processing, but also because of its foundational implications about the nature of quantum measurement[2] as well as indistinguishability of state[16] and entanglement[17]. Recently, i ...
... states[14, 15]. QZE has become a focus of attention not only because it can be applied in robust quantum information processing, but also because of its foundational implications about the nature of quantum measurement[2] as well as indistinguishability of state[16] and entanglement[17]. Recently, i ...
Certainty and Uncertainty in Quantum Information Processing
... to prove complete, information theoretic security. When a cryptographic protocol is designed based on a new problem, the difficulty of the problem must be established before the security of the protocol can be understood. Empirical testing of a problem takes a long time. Instead, whenever possible, ...
... to prove complete, information theoretic security. When a cryptographic protocol is designed based on a new problem, the difficulty of the problem must be established before the security of the protocol can be understood. Empirical testing of a problem takes a long time. Instead, whenever possible, ...
slides
... MIRO in high-mobility 2D electron gas in magnetic field. Photonassisted electron scattering in the regime of Landau quantization. ...
... MIRO in high-mobility 2D electron gas in magnetic field. Photonassisted electron scattering in the regime of Landau quantization. ...
Luttinger-Liquid Behavior in Tunneling through a Quantum Dot at Zero... Paula Rojt, Yigal Meir, and Assa Auerbach
... Non-Fermi liquid systems — electronic systems whose elementary excitations cannot be described by electrons — have always fascinated physicists due to their unusual properties (such as superconductivity and magnetism). Luttinger liquid (LL), describing interacting electrons in one dimension, is one ...
... Non-Fermi liquid systems — electronic systems whose elementary excitations cannot be described by electrons — have always fascinated physicists due to their unusual properties (such as superconductivity and magnetism). Luttinger liquid (LL), describing interacting electrons in one dimension, is one ...
Quantum Numbers
... Each Quark is assigned a new quantum number Colour – can have 3 values Red, Green & Blue and the particle wave function has an extra factor |Ψcolor> Which is anti-symmetric All particles – baryons & mesons are colourless – so each of the 3 quarks in a baryon has a different colour (r, g, b) ! In a m ...
... Each Quark is assigned a new quantum number Colour – can have 3 values Red, Green & Blue and the particle wave function has an extra factor |Ψcolor> Which is anti-symmetric All particles – baryons & mesons are colourless – so each of the 3 quarks in a baryon has a different colour (r, g, b) ! In a m ...
Experimental test of quantum nonlocality in three
... Thus we conclude that the local realistic model predicts none of the terms occurring in the quantum prediction and vice versa. This means that whenever local realism predicts that a speci®c result will de®nitely occur for a measurement on one of the photons based on the results for the other two, qu ...
... Thus we conclude that the local realistic model predicts none of the terms occurring in the quantum prediction and vice versa. This means that whenever local realism predicts that a speci®c result will de®nitely occur for a measurement on one of the photons based on the results for the other two, qu ...
- Philsci
... two meanings of ‘orbital’ is not mathematical but belongs to the conceptual level. Moreover, difficulties do not depend on the shortcomings of the electron configuration model, arising in many-electron systems (see Mulder 2010): the discontinuity is present already in the hydrogen atom, since it is ...
... two meanings of ‘orbital’ is not mathematical but belongs to the conceptual level. Moreover, difficulties do not depend on the shortcomings of the electron configuration model, arising in many-electron systems (see Mulder 2010): the discontinuity is present already in the hydrogen atom, since it is ...
7 Quantum Computing Applications of Genetic Programming
... that is to αα23 , to produce new amplitudes for |10i and |11i. This can be generalized for any m; one wants the 2n × 2n matrix which, for each set of 2m basis vectors that vary only with respect to Q, multiplies the 2m × 2m minimal version of the gate by the corresponding set of amplitudes. An imple ...
... that is to αα23 , to produce new amplitudes for |10i and |11i. This can be generalized for any m; one wants the 2n × 2n matrix which, for each set of 2m basis vectors that vary only with respect to Q, multiplies the 2m × 2m minimal version of the gate by the corresponding set of amplitudes. An imple ...
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.