Search Results - "Jordan, Stephen P"
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Quantum Algorithms for Quantum Field Theories
Published in Science (American Association for the Advancement of Science) (01-06-2012)“…Quantum field theory reconciles quantum mechanics and special relativity, and plays a central role in many areas of physics. We developed a quantum algorithm…”
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Polynomial-Time Quantum Algorithm for the Simulation of Chemical Dynamics
Published in Proceedings of the National Academy of Sciences - PNAS (02-12-2008)“…The computational cost of exact methods for quantum simulation using classical computers grows exponentially with system size. As a consequence, these…”
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3
Fast quantum algorithm for numerical gradient estimation
Published in Physical review letters (29-07-2005)“…Given a black box for f, a smooth real scalar function of d real variables, one wants to estimate [symbol: see text]f at a given point with n bits of…”
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4
Theory of carbon nanocones: Mechanical chiral inversion of a micron-scale three-dimensional object
Published in Physical review letters (17-12-2004)“…Graphene cones have two degenerate configurations: their original shape and its inverse. When the apex is depressed by an external probe, the simulated…”
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Grover Search and the No-Signaling Principle
Published in Physical review letters (16-09-2016)“…Two of the key properties of quantum physics are the no-signaling principle and the Grover search lower bound. That is, despite admitting…”
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Automated design of pulse sequences for magnetic resonance fingerprinting using physics-inspired optimization
Published in Proceedings of the National Academy of Sciences - PNAS (05-10-2021)“…Magnetic resonance fingerprinting (MRF) is a method to extract quantitative tissue properties such as T₁ and T₂ relaxation rates from arbitrary pulse sequences…”
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7
BQP-completeness of scattering in scalar quantum field theory
Published in Quantum (Vienna, Austria) (08-01-2018)“…Recent work has shown that quantum computers can compute scattering probabilities in massive quantum field theories, with a run time that is polynomial in the…”
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Modulus of continuity eigenvalue bounds for homogeneous graphs and convex subgraphs with applications to quantum Hamiltonians
Published in Journal of mathematical analysis and applications (15-08-2017)“…We adapt modulus of continuity estimates to the study of spectra of combinatorial graph Laplacians, as well as the Dirichlet spectra of certain weighted…”
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Quantum-Merlin-Arthur–complete problems for stoquastic Hamiltonians and Markov matrices
Published in Physical review. A, Atomic, molecular, and optical physics (29-03-2010)“…We show that finding the lowest eigenvalue of a 3-local symmetric stochastic matrix is Quantum-Merlin-Arthur-complete (QMA-complete). We also show that finding…”
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10
Grover Search and the No-Signaling Principle
Published in Physical review letters (14-09-2016)“…Two of the prime properties of quantum physics are the no-signaling principle and the Grover search lower bound. That is, despite admitting…”
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11
Perturbative gadgets at arbitrary orders
Published in Physical review. A, Atomic, molecular, and optical physics (01-06-2008)Get full text
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12
Efficiently constructing a quantum uniform superposition over bit strings near a binary linear code
Published 24-04-2024“…We demonstrate that a high fidelity approximation to $| \Psi_b \rangle$, the quantum superposition over all bit strings within Hamming distance $b$ of the…”
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Error-correcting codes for adiabatic quantum computation
Published in Physical review. A, Atomic, molecular, and optical physics (01-11-2006)Get full text
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14
Efficient quantum circuits for arbitrary sparse unitaries
Published in Physical review. A, Atomic, molecular, and optical physics (01-12-2009)“…Arbitrary exponentially large unitaries cannot be implemented efficiently by quantum circuits. However, we show that quantum circuits can efficiently implement…”
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15
Approximate optimization of MAXCUT with a local spin algorithm
Published 13-08-2020“…Phys. Rev. A 103, 052413 (2021) Local tensor methods are a class of optimization algorithms that was introduced in [Hastings,arXiv:1905.07047v2][1] as a…”
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16
Preparing Renormalization Group Fixed Points on NISQ Hardware
Published 20-09-2021“…Noisy intermediate-scale quantum (NISQ) hardware is typically limited to low-depth quantum circuits to limit the number of opportunities for introduction of…”
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Variational quantum simulation of critical Ising model with symmetry averaging
Published 29-04-2023“…Phys. Rev. A 107, 042620 (2023) Here, we investigate the use of deep multi-scale entanglement renormalization (DMERA) circuits as a variational ansatz for…”
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Polynomial Time Algorithms for Estimating Spectra of Adiabatic Hamiltonians
Published 01-10-2020“…Phys. Rev. A 100, 032336 (2019) Much research regarding quantum adiabatic optimization has focused on stoquastic Hamiltonians with Hamming symmetric…”
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Optimization by Decoded Quantum Interferometry
Published 15-08-2024“…We introduce Decoded Quantum Interferometry (DQI), a quantum algorithm for reducing classical optimization problems to classical decoding problems by…”
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Fast quantum computation at arbitrarily low energy
Published 06-03-2017“…Phys. Rev. A 95, 032305 (2017) One version of the energy-time uncertainty principle states that the minimum time $T_{\perp}$ for a quantum system to evolve…”
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