A short course on Quantum Mechanics and its Geometry
... importance: that about ”Methods of Quantization”. Indeed, if what the so-called classical limit or dequantization process is to some extent quite well understood∗ , there exists no univocal prescriptions to ”quantize” a classical system, i.e. to give a set of unambiguous rules that allow to write th ...
... importance: that about ”Methods of Quantization”. Indeed, if what the so-called classical limit or dequantization process is to some extent quite well understood∗ , there exists no univocal prescriptions to ”quantize” a classical system, i.e. to give a set of unambiguous rules that allow to write th ...
Nonparametric estimation of the purity of a quantum state in
... A short introduction to Quantum Mechanics ...
... A short introduction to Quantum Mechanics ...
What is a quantum simulator?
... thing to do (taking a time that scales exponentially with the number of particles in the model being simulated), but a quantum device might be able to do this efficiently (taking a time that scales at most polynomially with particle number [47]). This does not of course prohibit the simulation of ma ...
... thing to do (taking a time that scales exponentially with the number of particles in the model being simulated), but a quantum device might be able to do this efficiently (taking a time that scales at most polynomially with particle number [47]). This does not of course prohibit the simulation of ma ...
Optical and Quantum Communications—J. H. Shapiro, N. C. Wong
... We are embarked on research in the area of quantum information technology whose goal is to enable the quantum-mechanical information transmission, storage, and processing needed for future applications in quantum computing and quantum communication. Our theoretical work in this area has focused on a ...
... We are embarked on research in the area of quantum information technology whose goal is to enable the quantum-mechanical information transmission, storage, and processing needed for future applications in quantum computing and quantum communication. Our theoretical work in this area has focused on a ...
Document
... Question: What if the given quantum channel cannot be written as a product of Bell states? (i) How do we know if it could be used for teleportation? (ii) If so, how does one proceed? ...
... Question: What if the given quantum channel cannot be written as a product of Bell states? (i) How do we know if it could be used for teleportation? (ii) If so, how does one proceed? ...
Solving Critical Section problem in Distributed system by Entangled Quantum bits
... a computer to simulate quantum systems, first investigated using quantum systems to do computation in 1982[11] . He realized that the classical storage requirements for quantum systems grow exponentially in the number of particles. So while simulating twenty quantum particles only requires storing a ...
... a computer to simulate quantum systems, first investigated using quantum systems to do computation in 1982[11] . He realized that the classical storage requirements for quantum systems grow exponentially in the number of particles. So while simulating twenty quantum particles only requires storing a ...
An Extreme form of Superactivation for Quantum Zero-Error
... when used together. Here, we find that there exist pairs of channels which each have vanishing zero-error classical capacity, as before, but when the two channels are used together they can even transmit must more delicate quantum information with zero-error (indeed, only a single use of the joint c ...
... when used together. Here, we find that there exist pairs of channels which each have vanishing zero-error classical capacity, as before, but when the two channels are used together they can even transmit must more delicate quantum information with zero-error (indeed, only a single use of the joint c ...
Entanglement and Quantum Teleportation
... Alice wants to send classical messages to Bob They agree on a basis, say |0 , |1 Alice wants to communicate a bit b, so sends a qubit |b Bob measures in the agreed basis gets the result b with certainty Entanglement and Teleportation - NITP 2003 ...
... Alice wants to send classical messages to Bob They agree on a basis, say |0 , |1 Alice wants to communicate a bit b, so sends a qubit |b Bob measures in the agreed basis gets the result b with certainty Entanglement and Teleportation - NITP 2003 ...
An Accidental Relationship Between a Relative Quantum
... Concurrence and other measures of entanglement, being nonlinear functions of the density operator, can not be directly measured. Therefore, the search of observables related to entanglement, including entanglement witnesses, is an important goal. In this paper we show a result in that direction. For ...
... Concurrence and other measures of entanglement, being nonlinear functions of the density operator, can not be directly measured. Therefore, the search of observables related to entanglement, including entanglement witnesses, is an important goal. In this paper we show a result in that direction. For ...
A Molecular--Structure Hypothesis
... quaternion rotation implies that all relativistic and quantum structures must have the same symmetry. This is the basis of cosmic self-similarity. The observation that the golden mean features in many self-similarities is interpreted to show that τ represents a fundamental characteristic of space-ti ...
... quaternion rotation implies that all relativistic and quantum structures must have the same symmetry. This is the basis of cosmic self-similarity. The observation that the golden mean features in many self-similarities is interpreted to show that τ represents a fundamental characteristic of space-ti ...
Solutions of the Equations of Motion in Classical and Quantum
... because the argument of the functional will always indicate which is the case. We can easily obtain similar formulas for the symmetrized products of the field operators. The expectation value of such a product in the coherent state can be obtained from the n-point quantum functional @Jx, *.* x, I $1 ...
... because the argument of the functional will always indicate which is the case. We can easily obtain similar formulas for the symmetrized products of the field operators. The expectation value of such a product in the coherent state can be obtained from the n-point quantum functional @Jx, *.* x, I $1 ...
Fidelity as a figure of merit in quantum error correction
... well one quantum state resembles another, and how they are fundamentally different from information integrity measures, such as Shannon’s “rate of transmission” [12] – nowadays referred to as mutual information [13, 14]. E.g, assume that Alice has three binary, classical channels to use for communic ...
... well one quantum state resembles another, and how they are fundamentally different from information integrity measures, such as Shannon’s “rate of transmission” [12] – nowadays referred to as mutual information [13, 14]. E.g, assume that Alice has three binary, classical channels to use for communic ...
Quantum State Reconstruction From Incomplete Data
... Information encoded in a state of a quantum system The system interacts with its (large) environment The information “dilutes” into a reservoir (“equilibrates”) Where the original information goes ? Is the process reversible ? Can we recover diluted information ? Can we derive a master equation? Wha ...
... Information encoded in a state of a quantum system The system interacts with its (large) environment The information “dilutes” into a reservoir (“equilibrates”) Where the original information goes ? Is the process reversible ? Can we recover diluted information ? Can we derive a master equation? Wha ...
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.