Universal linear optics
Jacques Carolan,Chris Harrold,Chris Sparrow,Chris Sparrow,Enrique Martin-Lopez,Nicholas Russell,Joshua W. Silverstone,Peter Shadbolt,Nobuyuki Matsuda,Manabu Oguma,Mikitaka Itoh,Graham D. Marshall,Mark G. Thompson,Jonathan C. F. Matthews,Toshikazu Hashimoto,Jeremy L. O'Brien,Anthony Laing +16 more
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In this paper, a sixmode universal system consisting of a cascade of 15 Mach-Zehnder interferometers with 30 thermo-optic phase shifters integrated into a single photonic chip was demonstrated.Abstract:
Linear optics underpins fundamental tests of quantum mechanics and quantum technologies. We demonstrate a single reprogrammable optical circuit that is sufficient to implement all possible linear optical protocols up to the size of that circuit. Our six-mode universal system consists of a cascade of 15 Mach-Zehnder interferometers with 30 thermo-optic phase shifters integrated into a single photonic chip that is electrically and optically interfaced for arbitrary setting of all phase shifters, input of up to six photons, and their measurement with a 12-single-photon detector system. We programmed this system to implement heralded quantum logic and entangling gates, boson sampling with verification tests, and six-dimensional complex Hadamards. We implemented 100 Haar random unitaries with an average fidelity of 0.999 ± 0.001. Our system can be rapidly reprogrammed to implement these and any other linear optical protocol, pointing the way to applications across fundamental science and quantum technologies.read more
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Experimental realization of continuous-time quantum walks on directed graphs and their application in PageRank
TL;DR: This paper experimentally realizes continuous-time quantum walks for directed graphs with non-Hermitian adjacency matrices by using linear optical circuits and single photons and finds that the node classical centrality in a directed graph is correlated with the maximum node probability resulting from a continuous- time quantum walk.
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Totally destructive interference for permutation-symmetric many-particle states
Christoph Dittel,Christoph Dittel,Gabriel Dufour,Mattia Walschaers,Gregor Weihs,Andreas Buchleitner,Robert Keil +6 more
TL;DR: In this article, Dittel et al. provide a detailed theoretical analysis that substantially expands on all aspects of this generalization: they prove the suppression laws put forward in their other paper, establish how they interrelate with forbidden single-particle transitions, show how all suppression laws hitherto known can be retrieved from their general formalism, and discuss striking differences between bosons and fermions.
Journal Article
BosonSampling with lost photons
Scott Aaronson,Daniel J. Brod +1 more
TL;DR: It is shown that, if k out of n photons are lost, then BosonSampling cannot sample classically from a distribution that is 1/n^Theta(k)-close to the ideal distribution, unless a $\text{BPP}^{\text{NP}}$ machine can estimate the permanents of Gaussian matrices in $n^{O(k)}$ time.
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Percolation thresholds for photonic quantum computing.
TL;DR: In this article, the authors show that a universal cluster state can be created by fusing 3-photon clusters over a 2D lattice with a fusion success probability that is achievable with linear optics and single photons.
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Quantum state tomography with a single measurement setup
TL;DR: In this article, the authors propose to perform quantum state tomography (QST) with a single observable by adding an ancilla that couples to the information in the system and exploit the fact that the sought state is often close to a pure state.
References
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Book
Quantum Computation and Quantum Information
TL;DR: In this article, the quantum Fourier transform and its application in quantum information theory is discussed, and distance measures for quantum information are defined. And quantum error-correction and entropy and information are discussed.
Quantum Computation and Quantum Information
TL;DR: This chapter discusses quantum information theory, public-key cryptography and the RSA cryptosystem, and the proof of Lieb's theorem.
Journal ArticleDOI
A scheme for efficient quantum computation with linear optics.
TL;DR: It is shown that efficient quantum computation is possible using only beam splitters, phase shifters, single photon sources and photo-detectors and are robust against errors from photon loss and detector inefficiency.
Journal ArticleDOI
Measurement of subpicosecond time intervals between two photons by interference.
TL;DR: A fourth-order interference technique has been used to measure the time intervals between two photons, and by implication the length of the photon wave packet, produced in the process of parametric down-conversion.