Bell-Inequality Violations with Single Photons Entangled in Momentum and Polarization
... 1. Introduction One of the great quests in physics today is to prove via experiments the fundamental tenets of quantum mechanics: that nature is not realistic (i.e. observables do not have preexisting values), that it is indeterministic (i.e., that the results of future measurements are not determin ...
... 1. Introduction One of the great quests in physics today is to prove via experiments the fundamental tenets of quantum mechanics: that nature is not realistic (i.e. observables do not have preexisting values), that it is indeterministic (i.e., that the results of future measurements are not determin ...
Characterizing Quantum Supremacy in Near
... be almost statistically uncorrelated with the output distribution corresponding to general global measurements of the chaotic quantum state.1 Indeed, it has been argued that classically solving related sampling problems requires computational resources with asymptotic exponential scaling [18–28]. Ex ...
... be almost statistically uncorrelated with the output distribution corresponding to general global measurements of the chaotic quantum state.1 Indeed, it has been argued that classically solving related sampling problems requires computational resources with asymptotic exponential scaling [18–28]. Ex ...
Combinatorics and Boson normal ordering: A gentle introduction
... is called normal ordering.4,5,6,7,8 Although the process is clear and straightforward, in practice it can be tedious and cumbersome when the expression is complicated, and is even less tractable when we consider operators defined by an infinite series expansion. It is thus desirable to find manageab ...
... is called normal ordering.4,5,6,7,8 Although the process is clear and straightforward, in practice it can be tedious and cumbersome when the expression is complicated, and is even less tractable when we consider operators defined by an infinite series expansion. It is thus desirable to find manageab ...
Linear Optical Quantum Computing in a Single Spatial Mode
... quantum information and communication protocols naturally provides access to high dimensional Hilbert spaces [11–13] while maintaining a compact device design, and can leverage the existing classical communications technology base. Additionally, time-frequency encodings benefit from a relative insen ...
... quantum information and communication protocols naturally provides access to high dimensional Hilbert spaces [11–13] while maintaining a compact device design, and can leverage the existing classical communications technology base. Additionally, time-frequency encodings benefit from a relative insen ...
Paradox in Wave-Particle Duality
... radial distance from the center of the pattern, x is the position along the horizontal axis, and a and b are constants.(25) Near the center of the interference pattern the term that contains the Bessel function is nearly 1, and the cos2 (bx) term is the dominant factor in the formula. By expanding t ...
... radial distance from the center of the pattern, x is the position along the horizontal axis, and a and b are constants.(25) Near the center of the interference pattern the term that contains the Bessel function is nearly 1, and the cos2 (bx) term is the dominant factor in the formula. By expanding t ...
Tutorial 9 - UBC Physics
... polarizations, we can show that the average probability of passing though the first polarizer is t/2 (can you prove this?). ln parts c and e, you have calculated the probability for a photon that has passed through the first polarizer to pass through the second polarizer, and the probability for a p ...
... polarizations, we can show that the average probability of passing though the first polarizer is t/2 (can you prove this?). ln parts c and e, you have calculated the probability for a photon that has passed through the first polarizer to pass through the second polarizer, and the probability for a p ...
Non-classical light and photon statistics
... • Blockade/single emitter ensures one-at-a-time pair statistics • Multiple sources and switches can increase rate • Quantum memory makes source “on-demand” • Atomic ensemble-based single photon guns • Write probabilistically prepares source to fire • Read deterministically generates single photon • ...
... • Blockade/single emitter ensures one-at-a-time pair statistics • Multiple sources and switches can increase rate • Quantum memory makes source “on-demand” • Atomic ensemble-based single photon guns • Write probabilistically prepares source to fire • Read deterministically generates single photon • ...
Single-photon decision maker
... determined by observing optical energy transfer in ensembles of quantum dots. In this study, we report decision making based on single photons. One of the most significant attributes of single photons is literally its particle and yet probabilistic nature. For example, consider a single photon that ...
... determined by observing optical energy transfer in ensembles of quantum dots. In this study, we report decision making based on single photons. One of the most significant attributes of single photons is literally its particle and yet probabilistic nature. For example, consider a single photon that ...
Pion as a Nambu-Goldstone boson
... Breaking of a continuous global symmetry leads to Nambu-Goldstone Bosons. No information about how the breaking occurs is needed. Natural explanation for smallness of Pion mass. Found a technique to relate infinitly many diagramms. From the assumption that Pions and even Kaons and the Eta are Goldst ...
... Breaking of a continuous global symmetry leads to Nambu-Goldstone Bosons. No information about how the breaking occurs is needed. Natural explanation for smallness of Pion mass. Found a technique to relate infinitly many diagramms. From the assumption that Pions and even Kaons and the Eta are Goldst ...
CS286.2 Lectures 5-6: Introduction to Hamiltonian Complexity, QMA
... The Local Hamiltonian problem is QMA-complete Theorem 11. (Kempe-Kitaev-Regev) 2 − LHa,b is QMA-complete for some a = 2− poly(n) and b = 1/ poly(n). The first result along these lines came from Kitaev, who showed that 5 − LH is QMA-complete. We shall show a slightly weaker version of the theorem, wh ...
... The Local Hamiltonian problem is QMA-complete Theorem 11. (Kempe-Kitaev-Regev) 2 − LHa,b is QMA-complete for some a = 2− poly(n) and b = 1/ poly(n). The first result along these lines came from Kitaev, who showed that 5 − LH is QMA-complete. We shall show a slightly weaker version of the theorem, wh ...
Closed timelike curves make quantum and classical computing equivalent
... School of Computer Science, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 ...
... School of Computer Science, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 ...
classical simulation of restricted quantum computations
... David Deutsch then took these ideas further in 1985 [10] by introducing the universal quantum computer as the quantum analogue to the universal Turing machine. He showed that just as the universal Turing machine can efficiently simulate any Turing machine, so too can the universal quantum computer e ...
... David Deutsch then took these ideas further in 1985 [10] by introducing the universal quantum computer as the quantum analogue to the universal Turing machine. He showed that just as the universal Turing machine can efficiently simulate any Turing machine, so too can the universal quantum computer e ...
Lower Bounds on Matrix Rigidity via a Quantum
... orthonormal basis, then a measurement in this basis corresponds to the projectors Pi = |vi ihvi |. In this case the probability of outcome i is k Pi |φi k2 = |hvi |φi|2 . We refer to [20] for more details about quantum computing. Our proofs are instantiations of the following general idea, which rel ...
... orthonormal basis, then a measurement in this basis corresponds to the projectors Pi = |vi ihvi |. In this case the probability of outcome i is k Pi |φi k2 = |hvi |φi|2 . We refer to [20] for more details about quantum computing. Our proofs are instantiations of the following general idea, which rel ...
Generalized binomial distribution in photon statistics
... This article examines the spatial distribution of photons in a light beam with arbitrary photon statistics. If the photons obey the Bose-Einstein (BE) statistics, then the photon spatial distribution is found to exhibit certain features, termed here the ’photon bunching effect’, or collective photon ...
... This article examines the spatial distribution of photons in a light beam with arbitrary photon statistics. If the photons obey the Bose-Einstein (BE) statistics, then the photon spatial distribution is found to exhibit certain features, termed here the ’photon bunching effect’, or collective photon ...
Photons and Polarization
... through a vertically oriented polarizer. If we now place a second vertically oriented polarizer in the path of the beam, we know that all the light should pass through (assuming reflection is negligible). On the other hand, if the second polarizer is oriented at 90 degrees to the first, none of the ...
... through a vertically oriented polarizer. If we now place a second vertically oriented polarizer in the path of the beam, we know that all the light should pass through (assuming reflection is negligible). On the other hand, if the second polarizer is oriented at 90 degrees to the first, none of the ...
Temporal Multimode Storage of Entangled Photon Pairs
... smaller than the dead time of the detectors. This is typical of current single-photon detectors and it can complicate the analysis of temporally multiplexed quantum memories storing short (broadband) single photons. One obvious solution is to double the number of analyzers (and detectors) or use com ...
... smaller than the dead time of the detectors. This is typical of current single-photon detectors and it can complicate the analysis of temporally multiplexed quantum memories storing short (broadband) single photons. One obvious solution is to double the number of analyzers (and detectors) or use com ...
PPT - Fernando Brandao
... General Case: Quantizing Arora-Kale Algorithm The quantum algorithm is based on a classical algorithm for SDP due to Arora and Kale (2007) based on the multiplicative weight method. Let’s review their method Assumptions: We assume bi ≥ 1. Can reduce general case to this with blow up of poly(r) in c ...
... General Case: Quantizing Arora-Kale Algorithm The quantum algorithm is based on a classical algorithm for SDP due to Arora and Kale (2007) based on the multiplicative weight method. Let’s review their method Assumptions: We assume bi ≥ 1. Can reduce general case to this with blow up of poly(r) in c ...
On beating the hybrid argument
... to design a promise problem (rather than an oracle) that lies in (promise)-BQLOGTIME but not (promise)-AC 0 . The class BQLOGTIME is the class of languages decidable by quantum computers that have random access to an N -bit input, and use only O(log N ) steps (see §2 for the formal definition). As i ...
... to design a promise problem (rather than an oracle) that lies in (promise)-BQLOGTIME but not (promise)-AC 0 . The class BQLOGTIME is the class of languages decidable by quantum computers that have random access to an N -bit input, and use only O(log N ) steps (see §2 for the formal definition). As i ...
Photon pairs with coherence time exceeding 1 μs
... longitudinal length L 1.5 cm and a temperature of 100 μK. The experiment is run periodically with 4.5 ms MOT time followed by 0.5 ms biphoton generation time in each cycle. At end of the MOT time, the trapping and repumping lasers (not shown in Fig. 1) are switched off and all the atoms are optica ...
... longitudinal length L 1.5 cm and a temperature of 100 μK. The experiment is run periodically with 4.5 ms MOT time followed by 0.5 ms biphoton generation time in each cycle. At end of the MOT time, the trapping and repumping lasers (not shown in Fig. 1) are switched off and all the atoms are optica ...