Quantum_Computing
... amplitudes of all the occurances of that configuration or state in that particular layer. Since it is the square of the sum, and not the other way around, the layer with two state D's, one having an amplitude of .5, and the other one having an amplitude of -.5, produces a probability of 0 whenever t ...
... amplitudes of all the occurances of that configuration or state in that particular layer. Since it is the square of the sum, and not the other way around, the layer with two state D's, one having an amplitude of .5, and the other one having an amplitude of -.5, produces a probability of 0 whenever t ...
A quantum framework for likelihood ratios
... statistical methodology to achieve this. For instance, in the absence of data relating to covariate overlap, the widely used Bayes’ theorem either defaults to the marginal probability driven “naive Bayes’ classifier”, or requires the use of compensatory expectation-maximization techniques. Equally, ...
... statistical methodology to achieve this. For instance, in the absence of data relating to covariate overlap, the widely used Bayes’ theorem either defaults to the marginal probability driven “naive Bayes’ classifier”, or requires the use of compensatory expectation-maximization techniques. Equally, ...
Composing Quantum Protocols in a Classical Environment
... remains classical. From a more theoretical point of view, our general security definition expresses what security properties a quantum protocol must satisfy in order to be able to instantiate a basic cryptographic primitive upon which an information-theoretic cryptographic construction is based. For ...
... remains classical. From a more theoretical point of view, our general security definition expresses what security properties a quantum protocol must satisfy in order to be able to instantiate a basic cryptographic primitive upon which an information-theoretic cryptographic construction is based. For ...
3.2 Popescu–Rohrlich Bananas and Bell`s Theorem
... two separated systems would have to satisfy an inequality, now called Bell’s inequality. He also showed that the inequality is violated by measurements of certain two-valued observables of a pair of quantum systems in an entangled state. So Einstein’s intuition about the correlations of entangled qu ...
... two separated systems would have to satisfy an inequality, now called Bell’s inequality. He also showed that the inequality is violated by measurements of certain two-valued observables of a pair of quantum systems in an entangled state. So Einstein’s intuition about the correlations of entangled qu ...
fundamental_reality\fund_notes_up_math
... A mathematical model often also suggests ways to go deeper into the physical reality. As mathematical physics progressed, it was found that Newton's Laws, cornerstone of the “mechanical universe,” had problems. The French Mathematician Henri Poincare found that Newton’s laws only suffice for two poi ...
... A mathematical model often also suggests ways to go deeper into the physical reality. As mathematical physics progressed, it was found that Newton's Laws, cornerstone of the “mechanical universe,” had problems. The French Mathematician Henri Poincare found that Newton’s laws only suffice for two poi ...
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Computational advantage from quantum
... (n! for the control system and, as argued before, at least n! for the target system). A scalable implementation could be obtained by encoding the degrees of freedom in O(n log n) particles, each carrying a constant number of degrees of freedom (e.g., one qubit each). The main challenge is then to im ...
... (n! for the control system and, as argued before, at least n! for the target system). A scalable implementation could be obtained by encoding the degrees of freedom in O(n log n) particles, each carrying a constant number of degrees of freedom (e.g., one qubit each). The main challenge is then to im ...
Full Counting Statistics in a Propagating Quantum Front and
... become accessible in a number of experiments on tunnel junctions [4,5], quantum dots [6,7], and quantum point contacts [8]. The FCS has also been proposed as a tool to extract the entanglement entropy [9] in terms of the measured cumulants [10–12]. Theoretically, the FCS is best understood for the t ...
... become accessible in a number of experiments on tunnel junctions [4,5], quantum dots [6,7], and quantum point contacts [8]. The FCS has also been proposed as a tool to extract the entanglement entropy [9] in terms of the measured cumulants [10–12]. Theoretically, the FCS is best understood for the t ...
Quantum strategies
... efficient than any deterministic or probabilistic algorithm [1] and provided the foundation for Shor’s polynomial time quantum algorithm for factoring [2]. The quantum protocols for key distribution devised by Wiener, Bennett and Brassard, and Ekert are qualitatively more secure against eavesdroppin ...
... efficient than any deterministic or probabilistic algorithm [1] and provided the foundation for Shor’s polynomial time quantum algorithm for factoring [2]. The quantum protocols for key distribution devised by Wiener, Bennett and Brassard, and Ekert are qualitatively more secure against eavesdroppin ...
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).