POLYNOMIAL-TIME ALGORITHMS FOR PRIME FACTORIZATION
... 1993, Adleman and McCurley 1994]. These problems are so widely believed to be hard that several cryptosystems based on their diculty have been proposed, including the widely used RSA public key cryptosystem developed by Rivest, Shamir, and Adleman [1978]. We show that these problems can be solved i ...
... 1993, Adleman and McCurley 1994]. These problems are so widely believed to be hard that several cryptosystems based on their diculty have been proposed, including the widely used RSA public key cryptosystem developed by Rivest, Shamir, and Adleman [1978]. We show that these problems can be solved i ...
7 Quantum Computing Applications of Genetic Programming
... The smallest unit of information in a quantum computer is called a qubit, by analogy with the classical bit. A classical system of n bits is at any time in one of 2n states. Quantum mechanics tells us, however, that we must think of a quantum system of n qubits as having a distinct probability of “b ...
... The smallest unit of information in a quantum computer is called a qubit, by analogy with the classical bit. A classical system of n bits is at any time in one of 2n states. Quantum mechanics tells us, however, that we must think of a quantum system of n qubits as having a distinct probability of “b ...
Precisely Timing Dissipative Quantum Information
... One of the main goals in quantum information science and in quantum technologies in general is to understand the information processing power available within the framework of quantum mechanics. Several quantum computational models have been proposed and analyzed, and each has its strengths and weak ...
... One of the main goals in quantum information science and in quantum technologies in general is to understand the information processing power available within the framework of quantum mechanics. Several quantum computational models have been proposed and analyzed, and each has its strengths and weak ...
Atomic Bose-Hubbard Systems with Single-Particle
... I would like to thank my advisor, Markus Greiner, for five wonderful years in his group. Markus is extremely supportive of every group member and very open to new ideas. He is an incredibly gifted experimentalist with an amazing ability to explain most of our experiments in terms of beamsplitters an ...
... I would like to thank my advisor, Markus Greiner, for five wonderful years in his group. Markus is extremely supportive of every group member and very open to new ideas. He is an incredibly gifted experimentalist with an amazing ability to explain most of our experiments in terms of beamsplitters an ...
Ion Photon Entanglement with Barium
... A summary of systematic error estimates for our experimental apparatuses. . 69 ...
... A summary of systematic error estimates for our experimental apparatuses. . 69 ...
Gravitational wave detection with advanced ground based detectors
... Another fundamental noise source in gravitational wave detectors and other precision optical measurements arises from the thermal motion of the atoms in the most sensitive parts of the instrument. The two most important sources of thermal noise in advanced detectors are the optical coatings (coating ...
... Another fundamental noise source in gravitational wave detectors and other precision optical measurements arises from the thermal motion of the atoms in the most sensitive parts of the instrument. The two most important sources of thermal noise in advanced detectors are the optical coatings (coating ...
Propagating Quantum Microwaves
... state in Alice’s station to a nonclassical photon state, and transmit the photon to Bob, where the information stored in the photon is retrieved by a qubit in Bob’s station [6, 7]. With this method, the quantum information is transferred directly from Alice to Bob. However, if the communication chan ...
... state in Alice’s station to a nonclassical photon state, and transmit the photon to Bob, where the information stored in the photon is retrieved by a qubit in Bob’s station [6, 7]. With this method, the quantum information is transferred directly from Alice to Bob. However, if the communication chan ...
Quantum Optics VII Conference Program
... University of Innsbruck, Institute for Experimental Physics In this talk, the basic tool box of the Innsbruck quantum information processor based on a string of trapped Ca+ ions will be reviewed. For quantum information science, the toolbox operations are used to encode one logical qubit in entangle ...
... University of Innsbruck, Institute for Experimental Physics In this talk, the basic tool box of the Innsbruck quantum information processor based on a string of trapped Ca+ ions will be reviewed. For quantum information science, the toolbox operations are used to encode one logical qubit in entangle ...
Computational Complexity: A Modern Approach
... intuitive since the setup forbids them from coordinating their responses. Thus a strategy for the players is a pair of functions f, g : {0, 1} → {0, 1} such that the players’ answers a, b are computed only as functions of the information they see, namely, a = f (x) and b = g(y). A probabilistic stra ...
... intuitive since the setup forbids them from coordinating their responses. Thus a strategy for the players is a pair of functions f, g : {0, 1} → {0, 1} such that the players’ answers a, b are computed only as functions of the information they see, namely, a = f (x) and b = g(y). A probabilistic stra ...
Entanglement Criteria for Continuous
... After being measured, |ψi will be forced to change into one of the eigenstates |mi i in the sum above. One of the weirdness of quantum mechanics is that it is impossible to determine accurately which eigenstate the original state will collapse into before the measurement is performed, even in princi ...
... After being measured, |ψi will be forced to change into one of the eigenstates |mi i in the sum above. One of the weirdness of quantum mechanics is that it is impossible to determine accurately which eigenstate the original state will collapse into before the measurement is performed, even in princi ...
QUANTUM STATES, ENTANGLEMENT and CLOSED TIMELIKE
... NATURE OF QUANTUM STATES WITH CTC ENTANGLEMENT IN CTC WORLD CLONING OF QUANTUM STATE WITH CTC ...
... NATURE OF QUANTUM STATES WITH CTC ENTANGLEMENT IN CTC WORLD CLONING OF QUANTUM STATE WITH CTC ...
Doppler-Free Spectroscopy of Iodine at 739nm
... can hold 2 states, 0 and 1. A quantum computer on the other hand, has a memory in the form of qubits. Each can hold two states,|0i and |1i, and a quantum superposition of both states. Richard Feynman presciently proposed in 1982 that a quantum computer would be ideal for simulating a quantum many-bo ...
... can hold 2 states, 0 and 1. A quantum computer on the other hand, has a memory in the form of qubits. Each can hold two states,|0i and |1i, and a quantum superposition of both states. Richard Feynman presciently proposed in 1982 that a quantum computer would be ideal for simulating a quantum many-bo ...
Optimal Inequalities for State-Independent Contextuality Linköping University Post Print
... With the linear program we find that the maximal violation for the contexts CYO is V ¼ 1=12 8:3% and thus twice that of the inequality in Ref. [14]. Interestingly, among the optimal coefficients ~ there is a solution which is tight and for which the coefficient 4;7 vanishes, cf. Table I, colum ...
... With the linear program we find that the maximal violation for the contexts CYO is V ¼ 1=12 8:3% and thus twice that of the inequality in Ref. [14]. Interestingly, among the optimal coefficients ~ there is a solution which is tight and for which the coefficient 4;7 vanishes, cf. Table I, colum ...
Quantum Information Processing - LANL Research Library
... property of information is that it is fungible: It can be represented in many different physical forms and easily converted from one form to another without changing its meaning. In this sense, information is independent of the devices used to represent it but requires at least one physical represen ...
... property of information is that it is fungible: It can be represented in many different physical forms and easily converted from one form to another without changing its meaning. In this sense, information is independent of the devices used to represent it but requires at least one physical represen ...
The uncertainty relations in quantum mechanics
... disappearance of the interference pattern due to welcherweg/which-state detection (‘complementarity’) in interference experiments, which has traditionally been inadequately explained in terms of position–momentum uncertainty relation. The quantum interference effect is much more general than the cla ...
... disappearance of the interference pattern due to welcherweg/which-state detection (‘complementarity’) in interference experiments, which has traditionally been inadequately explained in terms of position–momentum uncertainty relation. The quantum interference effect is much more general than the cla ...
POISSON BOUNDARIES OVER LOCALLY COMPACT
... It is known that there exists a probability measure space (Π, ν), the Poisson boundary of (G, µ), such that L∞ (Π, ν) can be identified with the weak* closed subspace Hµ of L∞ (G) which consists of all µ-harmonic functions, i.e., functions h on G satisfying Φµ (h) = h. The noncommutative version of ...
... It is known that there exists a probability measure space (Π, ν), the Poisson boundary of (G, µ), such that L∞ (Π, ν) can be identified with the weak* closed subspace Hµ of L∞ (G) which consists of all µ-harmonic functions, i.e., functions h on G satisfying Φµ (h) = h. The noncommutative version of ...
Corrals and Critical Behavior of the Distribution of Fluctuational Paths
... lines: the extreme paths which provide a solution to Eqs. (5) are no longer optimal at the distance ¿D 1y2 beyond the switching line. In particular, as is clear from Figs. 1 and 3 they are not optimal when they encounter caustics, and thus caustics are not seen directly in the prehistory probability ...
... lines: the extreme paths which provide a solution to Eqs. (5) are no longer optimal at the distance ¿D 1y2 beyond the switching line. In particular, as is clear from Figs. 1 and 3 they are not optimal when they encounter caustics, and thus caustics are not seen directly in the prehistory probability ...