THE C∗-ALGEBRAIC FORMALISM OF QUANTUM MECHANICS
... Now we wish to do something similar with the states of a classical system. That is to say, we would like to examine the mathematical description of states in classical mechanics, and arrive at a result that we can hopefully take as an axiom for our theory of quantum mechanics. There is a natural way ...
... Now we wish to do something similar with the states of a classical system. That is to say, we would like to examine the mathematical description of states in classical mechanics, and arrive at a result that we can hopefully take as an axiom for our theory of quantum mechanics. There is a natural way ...
THE TRIANGLE INEQUALITY AND THE DUAL GROMOV
... Inspired by the groundbreaking work of Connes [2, 3] in noncommutative geometry and its metric aspects, Rieffel introduced the notion of a compact quantum metric space [14,16–19] and the quantum Gromov-Hausdorff distance [20,23–25,27], a fascinating generalization of Gromov-Hausdorff distance to non ...
... Inspired by the groundbreaking work of Connes [2, 3] in noncommutative geometry and its metric aspects, Rieffel introduced the notion of a compact quantum metric space [14,16–19] and the quantum Gromov-Hausdorff distance [20,23–25,27], a fascinating generalization of Gromov-Hausdorff distance to non ...
Quantum fluctuation relations: Foundations and applications
... described by a canonical distribution of the form of Eq. (2). It hence is of statistical nature. Its use and properties are discussed in many textbooks on statistical mechanics. The other ingredient, concerning the dynamics of the system, is the principle of microreversibility. This point needs some ...
... described by a canonical distribution of the form of Eq. (2). It hence is of statistical nature. Its use and properties are discussed in many textbooks on statistical mechanics. The other ingredient, concerning the dynamics of the system, is the principle of microreversibility. This point needs some ...
Sheaf Logic, Quantum Set Theory and The Interpretation of
... this challenge: explain how Shor’s algorithm works... When Shor’s algorithm has factorized a number, using 10500 or so times the computational resources that can be seen to be present, where was the number factorized ? There are only about 1080 atoms in the entirely universe, an utterly minuscule nu ...
... this challenge: explain how Shor’s algorithm works... When Shor’s algorithm has factorized a number, using 10500 or so times the computational resources that can be seen to be present, where was the number factorized ? There are only about 1080 atoms in the entirely universe, an utterly minuscule nu ...
Coherent and incoherent evolution of qubits in
... waves and double defects • Spin qubits at defects and the use of control spins ...
... waves and double defects • Spin qubits at defects and the use of control spins ...
Time-bin entangled qubits for quantum communication created by
... like quantum teleportation or entanglement swapping, and due to their ability to be transported in optical fibers, photons are the best candidates for long-distance applications 关1兴. Even though some of these protocols have already been experimentally realized 关2– 8兴, none of them was optimized for ...
... like quantum teleportation or entanglement swapping, and due to their ability to be transported in optical fibers, photons are the best candidates for long-distance applications 关1兴. Even though some of these protocols have already been experimentally realized 关2– 8兴, none of them was optimized for ...
The quantum phases of matter - Subir Sachdev
... and Kivelson9 described RVB physics in terms of the ‘quantum dimer’ model, and discovered a remarkable solvable point at which the simplest RVB state, the equal superposition of all nearest-neighbor singlet pairings, was the exact ground state. Fradkin and Kivelson10 showed that the quantum dimer mo ...
... and Kivelson9 described RVB physics in terms of the ‘quantum dimer’ model, and discovered a remarkable solvable point at which the simplest RVB state, the equal superposition of all nearest-neighbor singlet pairings, was the exact ground state. Fradkin and Kivelson10 showed that the quantum dimer mo ...
Is a random state entangled ?
... The probabilistic method in quantum information theory The probabilistic method: use random techniques to show existence of objects for which explicit constructions are not known (Erdős–Rényi ; Shannon). Major revolution in combinatorics since 1950s ! A priori, Quantum Information Theory is a goo ...
... The probabilistic method in quantum information theory The probabilistic method: use random techniques to show existence of objects for which explicit constructions are not known (Erdős–Rényi ; Shannon). Major revolution in combinatorics since 1950s ! A priori, Quantum Information Theory is a goo ...
Computational Methods for Simulating Quantum Computers
... Computer simulation has since long been accepted as the third methodology in many branches of science and engineering [34]. Conventional computers can be used to simulate quantum computers that are relative small (e.g. 24 qubits) but are significantly larger than the experimental machines that have b ...
... Computer simulation has since long been accepted as the third methodology in many branches of science and engineering [34]. Conventional computers can be used to simulate quantum computers that are relative small (e.g. 24 qubits) but are significantly larger than the experimental machines that have b ...
The Light of Existence
... physics see light as an electro-magnetic Ponzi scheme? Ancient light, such as cosmic background radiation, has traveled the universe for billions of years to reach us but still arrives at the speed of light. It is colder because the expansion of space has increased its wavelength, but its speed and ...
... physics see light as an electro-magnetic Ponzi scheme? Ancient light, such as cosmic background radiation, has traveled the universe for billions of years to reach us but still arrives at the speed of light. It is colder because the expansion of space has increased its wavelength, but its speed and ...
Multiphoton population transfer between rovibrational states of HF: adiabatic
... reach up to ν = 4. Compared to the 2% chirp we needed as shown in figure 1, this is a relatively large chirp. The peak intensity used in figure 1 is the lowest intensity at which we could get the system to transfer with 100% efficiency for the aforementioned pulse duration and chirp. Table 1 lists t ...
... reach up to ν = 4. Compared to the 2% chirp we needed as shown in figure 1, this is a relatively large chirp. The peak intensity used in figure 1 is the lowest intensity at which we could get the system to transfer with 100% efficiency for the aforementioned pulse duration and chirp. Table 1 lists t ...
85, 155302 (2012)
... We consider an alternative route to identifying the TQCP: an ac measurement. For the sake of definiteness, we consider below (Fig. 2) the ac conductivity across a 1D nanowire contacted by s-wave superconducting leads which produces the proximity effect. For ac conductivity measurements, depending on ...
... We consider an alternative route to identifying the TQCP: an ac measurement. For the sake of definiteness, we consider below (Fig. 2) the ac conductivity across a 1D nanowire contacted by s-wave superconducting leads which produces the proximity effect. For ac conductivity measurements, depending on ...
Generalized Bloch Vector and the Eigenvalues of a
... with arbitrary number of levels (see Section 2.2 for 3-level system (qutrit) and Section 2.3 for general case). Unfortunately for quantum systems with more than 2 levels (qutrit, for example) the correspondence is not so clear anymore as in the qubit case, because the subset of points of the Bloch b ...
... with arbitrary number of levels (see Section 2.2 for 3-level system (qutrit) and Section 2.3 for general case). Unfortunately for quantum systems with more than 2 levels (qutrit, for example) the correspondence is not so clear anymore as in the qubit case, because the subset of points of the Bloch b ...
