QUANTUM PHASE ESTIMATION WITH ARBITRARY CONSTANT
... While Quantum phase estimation (QPE) is at the core of many quantum algorithms known to date, its physical implementation (algorithms based on quantum Fourier transform (QFT) ) is highly constrained by the requirement of high-precision controlled phase shift operators, which remain difficult to real ...
... While Quantum phase estimation (QPE) is at the core of many quantum algorithms known to date, its physical implementation (algorithms based on quantum Fourier transform (QFT) ) is highly constrained by the requirement of high-precision controlled phase shift operators, which remain difficult to real ...
Fractional @ Scaling for Quantum Kicked Rotors without Cantori
... distributions for the mixed-phase-space double-kicked atoms (2DKP) are similar to those of the RP-DKP, for which the phases between kick pairs are random numbers. The staircase structure and ‘‘heights’’ of the steps are comparable. K 0:4 and @ 1=500 in every case. (b) Shows the fractional scal ...
... distributions for the mixed-phase-space double-kicked atoms (2DKP) are similar to those of the RP-DKP, for which the phases between kick pairs are random numbers. The staircase structure and ‘‘heights’’ of the steps are comparable. K 0:4 and @ 1=500 in every case. (b) Shows the fractional scal ...
Minimal normal measurement models of quantum instruments
... measures (POVMs), that is, (weakly) σ-additive mappings M : Σ → L(H) such that M(X) ≥ 0 for all X ∈ Σ and M(Ω) = 1H , where 1H stands for the identity operator on H. If ΩN = {x1 , x2 , ...} with N ≤ ∞ elements and ΣN = 2ΩN is the corresponding σ-algebra of a POVM M, then M can be viewed as a collect ...
... measures (POVMs), that is, (weakly) σ-additive mappings M : Σ → L(H) such that M(X) ≥ 0 for all X ∈ Σ and M(Ω) = 1H , where 1H stands for the identity operator on H. If ΩN = {x1 , x2 , ...} with N ≤ ∞ elements and ΣN = 2ΩN is the corresponding σ-algebra of a POVM M, then M can be viewed as a collect ...
majorization and quantum entanglement
... It will be convenient, however, to rst study the in uence of majorization in the context of mixing of quantum states. This, apart from helping us understand certain restrictions on quantum measurements, will also provide an extra result that can be applied to design local conversion strategies. Thu ...
... It will be convenient, however, to rst study the in uence of majorization in the context of mixing of quantum states. This, apart from helping us understand certain restrictions on quantum measurements, will also provide an extra result that can be applied to design local conversion strategies. Thu ...
On the Formulation of Quant`um Mechanics associated with
... implies to base the interpretation .Of quantum mechanics on the ensemble formulation, whose applicability is, however, rather limited, depending on ~e formal possibility to transform quantum-mechanical equation of motion into some classical equation of motion. This .formulation is essentially .based ...
... implies to base the interpretation .Of quantum mechanics on the ensemble formulation, whose applicability is, however, rather limited, depending on ~e formal possibility to transform quantum-mechanical equation of motion into some classical equation of motion. This .formulation is essentially .based ...
Time in the Weak Value and the Discrete Time Quantum Walk
... defined from the quantum measurement to characterize the observable-independent probability space. • I showed that the counter-factual property could be characterized by the weak value. • I naturally characterized the weak value with decoherence. ...
... defined from the quantum measurement to characterize the observable-independent probability space. • I showed that the counter-factual property could be characterized by the weak value. • I naturally characterized the weak value with decoherence. ...
Self-consistent approach for calculations of exciton binding energy
... within the framework of the variational approach, where a certain form of the exciton wave function, depending on one or more variational parameters is being postulated. The exciton energy is then calculated by minimizing the respective energy functional with respect to the variational parameters. U ...
... within the framework of the variational approach, where a certain form of the exciton wave function, depending on one or more variational parameters is being postulated. The exciton energy is then calculated by minimizing the respective energy functional with respect to the variational parameters. U ...
Infinite-randomness quantum critical points induced by dissipation
... infinite-randomness quantum critical point for a continuous O共N兲 symmetry order parameter. In addition to its significance for the theory of quantum phase transitions, this question also has important experimental applications. Consider the antiferromagnetic quantum phase transition of itinerant ele ...
... infinite-randomness quantum critical point for a continuous O共N兲 symmetry order parameter. In addition to its significance for the theory of quantum phase transitions, this question also has important experimental applications. Consider the antiferromagnetic quantum phase transition of itinerant ele ...
Aspects of quantum information theory
... Quantum information and quantum computation have recently attracted a lot of interest. The promise of new technologies like safe cryptography and new “super computers”, capable of handling otherwise untractable problems, has excited not only researchers from many different fields like physicists, ma ...
... Quantum information and quantum computation have recently attracted a lot of interest. The promise of new technologies like safe cryptography and new “super computers”, capable of handling otherwise untractable problems, has excited not only researchers from many different fields like physicists, ma ...
LAPLACE TRANSFORM AND UNIVERSAL sl2 INVARIANTS
... • Ohtsuki series (see [16, 10]) have integer coefficients and determines the whole set of quantum invariants. • The Le–Murakami–Ohtsuki invariant (see [11]) totally determines the quantum invariants. The integrality of quantum invariants was established earlier only at roots of unity of prime order ...
... • Ohtsuki series (see [16, 10]) have integer coefficients and determines the whole set of quantum invariants. • The Le–Murakami–Ohtsuki invariant (see [11]) totally determines the quantum invariants. The integrality of quantum invariants was established earlier only at roots of unity of prime order ...
Tunnelling Effects in Chemistry
... height is much larger than kBT, then the reaction is slow, and if this is not so, the reaction is termed labile. ...
... height is much larger than kBT, then the reaction is slow, and if this is not so, the reaction is termed labile. ...
Quantum teleportation
Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. Because it depends on classical communication, which can proceed no faster than the speed of light, it cannot be used for faster-than-light transport or communication of classical bits. It also cannot be used to make copies of a system, as this violates the no-cloning theorem. While it has proven possible to teleport one or more qubits of information between two (entangled) atoms, this has not yet been achieved between molecules or anything larger.Although the name is inspired by the teleportation commonly used in fiction, there is no relationship outside the name, because quantum teleportation concerns only the transfer of information. Quantum teleportation is not a form of transportation, but of communication; it provides a way of transporting a qubit from one location to another, without having to move a physical particle along with it.The seminal paper first expounding the idea was published by C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters in 1993. Since then, quantum teleportation was first realized with single photons and later demonstrated with various material systems such as atoms, ions, electrons and superconducting circuits. The record distance for quantum teleportation is 143 km (89 mi).