Proceedings of the 35th Annual Symposium Foundations of Computer Science (IEEE, New York, 1994), p. Algorithms for quantum computation: discrete logarithms and factoring. Such critical dependence is strikingly reminiscent of the quantum-to-classical transition in systems of identical particles, which sets in when the system size scales up while density of particles vanishes. The number of samples required to tell apart the quantum and classical output distributions is strongly affected by the previously unexplored parameter: density of bosons, i.e., the ratio of total number of interfering bosons to number of input ports of interferometer. In this work it is shown analytically and confirmed by numerical simulations that one can efficiently distinguish the output distribution of such a noisy boson sampling from the approximations accounting for low-order quantum multiboson interferences, what includes the mentioned classical algorithms. Recently found classical algorithms can efficiently approximate, to any small error, the output of boson sampling with finite-amplitude noise. Noise is considered to be the main problem in such a demonstration, hence it is urgent to understand the effect of noise. Giving a convincing experimental evidence of the quantum supremacy over classical simulations is a challenging goal. However, there is an additional error term in Eq. Better way to measure f in the linear model / H.Ma: In Appendix C.1 the derivation of the lower bound in Eq. Is there a strong interaction sector in the standard lattice Higgs model? / M. Upper bound on the Higgs-boson mass in the standard model / J. The cut-off dependence of the Higgs meson mass and the onset of new physics in the standard model / P. Mass of the Higgs boson in the canonical realization of the Salam-Weinberg theory / M. Speculations on a strongly interacting Higgs sector / M. How to get an upper bound on the Higgs mass / R. Derivation of gauge invariance from high-energy unitarity bounds on the S matrix / J. Multiple production of W and Z as a signal of new strong interactions / M. Upper bounds on the values of masses in unified gauge theories / D. The sphaleron strikes back: A response to objections to the sphaleron approximation / P. On anomalous electroweak baryon-number non-conservation in the early universe / V. A saddle-point solution in the Weinberg-Salam theory / F. Theoretical ceiling on quark masses in the standard model / M. On the vacuum instability and the Higgs meson mass / A. Dynamic reconstruction of symmetry and limitations on the masses and coupling constants in the Higgs model / A. Vacuum Stability Cosmological Issues Solitons Instantons. Radiative corrections in the SU(2) x U(1) theory: A simple renormalization framework / A. Standard model electroweak radiative corrections to longitudinal polarization A and forward-backward asymmetry A in on and off the Z resonance / B. Second threshold in weak interactions / M. Radiative corrections to vector boson masses / M. One-loop correction to vector boson masses in the Glashow-Weinberg-Salam model of electromagnetic and weak interactions / F. Static quantities in Weinberg's model of weak and electromagnetic interactions / W. Weak-interaction corrections to the muon magnetic moment and to muonic-atom energy levels / R. The Virtual H-Boson - Radiative Corrections. The effective, Z approximation for high energy collisions / G. Associated production of Higgs bosons and Z particles / S. Strong interaction corrections to semiweak decays: Calculation of the decay rate to order / M. Once more on the role of the gluon mechanism in the interaction of a light Higgs boson with hadrons / M. Decays and limits on the mass of the neutral Higgs boson / R. Remarks on Higgs-boson interactions with nucleons / M. A phenomenological profile of the Higgs boson / J. Decays of heavy vector mesons into Higgs particles / F.
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