Quantum connection and Poincare19 e-
... The present paper is aimed at analysing some aspects of the general relativistic classical and quantum mechanics on a curved spacetime with absolute time, in terms of recent formulations of a finite order Lagrangian bicomplex [Kru90, Kru95] and of a covariant approach to classical and quantum mechan ...
... The present paper is aimed at analysing some aspects of the general relativistic classical and quantum mechanics on a curved spacetime with absolute time, in terms of recent formulations of a finite order Lagrangian bicomplex [Kru90, Kru95] and of a covariant approach to classical and quantum mechan ...
Calculating Floquet states of large quantum systems: A
... ever increasing role in explaining and guiding current experiments and suggesting new ones [4]. From the computational point of view, the complete resolution of a coherent, i.e., an isolated from the environment, quantum system means the solution of the eigenvalue problem for the system Hamiltonian ...
... ever increasing role in explaining and guiding current experiments and suggesting new ones [4]. From the computational point of view, the complete resolution of a coherent, i.e., an isolated from the environment, quantum system means the solution of the eigenvalue problem for the system Hamiltonian ...
Can gas hydrate structures be described using - e-Spacio
... the same model, one could compare classical simulations for a good classical model with quantum simulations for a good quantum model. A good classical model is one in which the parameters were fitted to experimental properties within classical simulations, so that, in some implicit way, quantum cont ...
... the same model, one could compare classical simulations for a good classical model with quantum simulations for a good quantum model. A good classical model is one in which the parameters were fitted to experimental properties within classical simulations, so that, in some implicit way, quantum cont ...
Reduced fidelity in topological quantum phase transitions
... paradigm—have instead borrowed concepts from quantum information theory, in particular those of entanglement entropy 关3兴 and fidelity 关4兴, none of which require the construction of an order parameter. Fidelity measures the similarity between two quantum states and, for pure states, is defined as the ...
... paradigm—have instead borrowed concepts from quantum information theory, in particular those of entanglement entropy 关3兴 and fidelity 关4兴, none of which require the construction of an order parameter. Fidelity measures the similarity between two quantum states and, for pure states, is defined as the ...
A Factor-Graph Representation of Probabilities in Quantum Mechanics
... Y2 take values in the set {1, . . . , M }. The two large boxes in the figure represent measurements, as will be detailed below. The factor/box p(x0 ) is a probability mass function over the initial state X0 . We will see that this factor graph (with suitable modeling of the measurements) represents ...
... Y2 take values in the set {1, . . . , M }. The two large boxes in the figure represent measurements, as will be detailed below. The factor/box p(x0 ) is a probability mass function over the initial state X0 . We will see that this factor graph (with suitable modeling of the measurements) represents ...
Quantum Computational Complexity - Cheriton School of Computer
... accurate description of extremely small physical systems (on the scale of atoms) where classical physical theories have failed completely. Indeed, an extrapolation of Moore’s Law predicts subatomic computing components within the next two decades [83, 78]; a possibility inconsistent with quantum mec ...
... accurate description of extremely small physical systems (on the scale of atoms) where classical physical theories have failed completely. Indeed, an extrapolation of Moore’s Law predicts subatomic computing components within the next two decades [83, 78]; a possibility inconsistent with quantum mec ...
IAP-VI-02-Annex_I-Section_I
... Today a major trend in fundamental sciences is the study of nonlinear systems and the appearance of complex behavior. Such systems are characterized by many interacting entities as in macroscopic physics where systems composed of many microscopic particles present collective and nonlinear phenomena ...
... Today a major trend in fundamental sciences is the study of nonlinear systems and the appearance of complex behavior. Such systems are characterized by many interacting entities as in macroscopic physics where systems composed of many microscopic particles present collective and nonlinear phenomena ...
Do You Need to Believe in Orbitals to Use Them - Philsci
... “electronic configuration” model, has proven extremely fruitful for quantum chemistry, as mentioned above. The atomic orbital model is used as a means to classify atomic spectra, and has met with much (though not complete) success in doing so. Scerri (1991) also notes several problems with the conf ...
... “electronic configuration” model, has proven extremely fruitful for quantum chemistry, as mentioned above. The atomic orbital model is used as a means to classify atomic spectra, and has met with much (though not complete) success in doing so. Scerri (1991) also notes several problems with the conf ...
Introduction to the Bethe Ansatz I
... array of electrons with uniform exchange interaction between nearest neighbors. Bethe’s parametrization of the eigenvectors, the Bethe ansatz, has become influential to an extent not imagined at the time. Today, many other quantum many body systems are known to be solvable by some variant of the Bet ...
... array of electrons with uniform exchange interaction between nearest neighbors. Bethe’s parametrization of the eigenvectors, the Bethe ansatz, has become influential to an extent not imagined at the time. Today, many other quantum many body systems are known to be solvable by some variant of the Bet ...
Quantum Heat Machines Equivalence, Work Extraction beyond
... where the Markovian dynamics is described by the Lindblad equation. In fact, the second law is consistent with quantum mechanics regardless of Markovianity as long as proper thermal baths are used [61]. One of the main challenges in this field is to find “quantum signatures” [1] in the operation of ...
... where the Markovian dynamics is described by the Lindblad equation. In fact, the second law is consistent with quantum mechanics regardless of Markovianity as long as proper thermal baths are used [61]. One of the main challenges in this field is to find “quantum signatures” [1] in the operation of ...
Simulating the transverse Ising model on a quantum computer: Error... with the surface code ), Hao You (
... The TIM is an appropriate benchmark model for quantum simulation considering that it is one of the central problems in quantum phase transitions and quantum annealing. Further, quantum speedup over classical algorithms may be feasible for high spatial dimension TIM problems. In Ref. [12], Clark et a ...
... The TIM is an appropriate benchmark model for quantum simulation considering that it is one of the central problems in quantum phase transitions and quantum annealing. Further, quantum speedup over classical algorithms may be feasible for high spatial dimension TIM problems. In Ref. [12], Clark et a ...
Quantum key distribution
Quantum key distribution (QKD) uses quantum mechanics to guarantee secure communication. It enables two parties to produce a shared random secret key known only to them, which can then be used to encrypt and decrypt messages. It is often incorrectly called quantum cryptography, as it is the most well known example of the group of quantum cryptographic tasks.An important and unique property of quantum key distribution is the ability of the two communicating users to detect the presence of any third party trying to gain knowledge of the key. This results from a fundamental aspect of quantum mechanics: the process of measuring a quantum system in general disturbs the system. A third party trying to eavesdrop on the key must in some way measure it, thus introducing detectable anomalies. By using quantum superpositions or quantum entanglement and transmitting information in quantum states, a communication system can be implemented which detects eavesdropping. If the level of eavesdropping is below a certain threshold, a key can be produced that is guaranteed to be secure (i.e. the eavesdropper has no information about it), otherwise no secure key is possible and communication is aborted.The security of encryption that uses quantum key distribution relies on the foundations of quantum mechanics, in contrast to traditional public key cryptography which relies on the computational difficulty of certain mathematical functions, and cannot provide any indication of eavesdropping at any point in the communication process, or any mathematical proof as to the actual complexity of reversing the one-way functions used. QKD has provable security based on information theory, and forward secrecy.Quantum key distribution is only used to produce and distribute a key, not to transmit any message data. This key can then be used with any chosen encryption algorithm to encrypt (and decrypt) a message, which can then be transmitted over a standard communication channel. The algorithm most commonly associated with QKD is the one-time pad, as it is provably secure when used with a secret, random key. In real world situations, it is often also used with encryption using symmetric key algorithms like the Advanced Encryption Standard algorithm. In the case of QKD this comparison is based on the assumption of perfect single-photon sources and detectors, that cannot be easily implemented.