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Quantum mechanics

32 results found
  • Finding the disjointness of stabilizer codes is NP-complete
    John Bostanci, Aleksander Kubica
    Physical Review Research
    2021
    The disjointness of a stabilizer code is a quantity used to constrain the level of the logical Clifford hierarchy attainable by transversal gates and constant-depth quantum circuits. We show that for any positive integer constant c, the problem of calculating the c-disjointness, or even approximating it to within a constant multiplicative factor, is NP-complete. We provide bounds on the disjointness for
    Quantum technologies
  • Experimental Pauli-frame randomization on a superconducting qubit
    Matthew Ware, Guilhem Ribeill, Diego Ristè, Colm A. Ryan, Blake R. Johnson, Marcus P. da Silva
    Physical Review A
    2021
    The promise of quantum computing with imperfect qubits relies on the ability of a quantum computing system to scale cheaply through error correction and fault tolerance. While fault tolerance requires relatively mild assumptions about the nature of qubit errors, the overhead associated with coherent and non-Markovian errors can be orders of magnitude larger than the overhead associated with purely stochastic
    Quantum technologies
  • Photon-number-dependent Hamiltonian engineering for cavities
    Chiao-Hsuan Wang, Kyungjoo Noh, José Lebreuilly, S.M. Girvin, Liang Jiang
    Physical Review Applied
    2021
    Cavity resonators are promising resources for quantum technology, while native nonlinear interactions for cavities are typically too weak to provide the level of quantum control required to deliver complex targeted operations. Here we investigate a scheme to engineer a target Hamiltonian for photonic cavities using ancilla qubits. By off resonantly driving dispersively coupled ancilla qubits, we develop
    Quantum technologies
  • Exponential suppression of bit or phase errors with cyclic error correction
    Zijun Chen , Kevin J. Satzinger, Juan Atalaya, Alexander Alexandrov, Andrew Dunsworth , Daniel Sank , Chris Quintana , Matt McEwen, Rami Barends, Paul V. Klimov, Sabrina Hong , Cody Jones , Andre Petukhov, Dvir Kafri, Sean Demura, Brian Burkett, Craig Gidney, Austin G. Fowler, Alexandru Paler, Harald Putterman, Igor Aleiner, Frank Arute , Kunal Arya , Ryan Babbush , Joseph C. Bardin, Andreas Bengtsson, Alexandre Bourassa, Michael Broughton, Bob B. Buckley , David A. Buell, Nicholas Bushnell, Benjamin Chiaro, Roberto Collins, William Courtney, Alan R. Derk, Daniel Eppens, Catherine Erickson, E. Farhi, Brooks Foxen, Marissa Giustina, Ami Greene, Jonathan Gross, Matthew P. Harrigan, Sean D. Harrington, Jeremy Hilton, Alan Ho , Trent Huang, William J. Huggins, L. B. Ioffe, Sergei V. Isakov, Evan Jeffrey, Zhang Jiang, Kostyantyn Kechedzhi, Seon Kim, Alexei Kitaev, Fedor Kostritsa, David Landhuis, Pavel Laptev, Erik Lucero, Orion Martin, Jarrod R. McClean, Trevor McCourt, Xiao Mi, Kevin C. Miao, Masoud Mohseni, Shirin Montazeri, Wojciech Mruczkiewicz, Josh Mutus, Ofer Naaman, Matthew Neeley, Charles Neill, Michael Newman, Murphy Yuezhen Niu, Thomas E. O’Brien, Alex Opremcak, Eric Ostby, Bálint Pató, Nicholas Redd, Pedram Roushan, Nicholas C. Rubin, Vladimir Shvarts, Doug Strain, Marco Szalay, Matthew D. Trevithick, Benjamin Villalonga, Theodore White, Z. Jamie Yao , Ping Yeh, Juhwan Yoo, Adam Zalcman, Hartmut Neven, Sergio Boixo, Vadim Smelyanskiy, Yu Chen, Anthony Megrant, Julian Kelly
    Nature
    2021
    Realizing the potential of quantum computing requires sufficiently low logical error rates(1). Many applications call for error rates as low as 10⁻¹⁵ (refs. 2,3,4,5,6,7,8,9), but state-of-the-art quantum platforms typically have physical error rates near 10⁻³ (refs. 10,11,12,13,14). Quantum error correction(15,16,17) promises to bridge this divide by distributing quantum logical information across many
    Quantum technologies
  • Random quantum circuits transform local noise into global white noise
    Alex Dalzell, Nicholas Hunter-Jones, Fernando Brandão
    arXiv
    2021
    We study the distribution over measurement outcomes of noisy random quantum circuits in the low-fidelity regime. We show that, for local noise that is sufficiently weak and unital, correlations (measured by the linear cross-entropy benchmark) between the output distribution p_(noisy) of a generic noisy circuit instance and the output distribution pideal of the corresponding noiseless instance shrink exponentially
    Quantum technologies
  • Fast thermalization from the Eigenstate Thermalization Hypothesis
    Chi-Fang Chen, Fernando Brandão
    arXiv
    2021
    The Eigenstate Thermalization Hypothesis (ETH) has played a major role in explaining thermodynamic phenomena in quantum systems. However, so far, no connection has been known between ETH and the timescale of thermalization. In this paper, we rigorously show that ETH indeed implies fast thermalization to the global Gibbs state. We show fast convergence for two models of thermalization. In the first, the
    Quantum technologies
  • Computational overhead of locality reduction in binary optimization problems
    Elisabetta Valiante, Maritza Hernandez, Amin Barzega, Helmut Katzgraber
    Computer Physics Communications
    2021
    Recently, there has been considerable interest in solving optimization problems by mapping these onto a binary representation, sparked mostly by the use of quantum annealing machines. Such binary representation is reminiscent of a discrete physical two-state system, such as the Ising model. As such, physics-inspired techniques—commonly used in fundamental physics studies—are ideally suited to solve optimization
    Quantum technologies
  • Quantifying quantum speedups: Improved classical simulation from tighter magic monotones
    James R. Seddon, Bartosz Regula, Hakop Pashayan, Yingkai Ouyang, Earl Campbell
    PRX Quantum
    2021
    Consumption of magic states promotes the stabilizer model of computation to universal quantum computation. Here, we propose three different classical algorithms for simulating such universal quantum circuits, and characterize them by establishing precise connections with a family of magic monotones. Our first simulator introduces a new class of quasiprobability distributions and connects its runtime to
    Quantum technologies
  • Error correction of quantum reference frame information
    Patrick Hayden, Sepehr Nezami, Sandu Popescu, Grant Salton
    PRX Quantum
    2021
    The existence of quantum error-correcting codes is one of the most counterintuitive and potentially technologically important discoveries of quantum-information theory. In this paper, we study a problem called “covariant quantum error correction”, in which the encoding is required to be group covariant. This problem is intimately tied to fault-tolerant quantum computation and the well-known Eastin-Knill
    Quantum technologies
  • How to use neural networks to investigate quantum many-body physics
    Juan Carrasquilla, Giacomo Torlai
    PRX Quantum
    2021
    Over the past few years, machine learning has emerged as a powerful computational tool to tackle complex problems in a broad range of scientific disciplines. In particular, artificial neural networks have been successfully used to mitigate the exponential complexity often encountered in quantum many-body physics, the study of properties of quantum systems built from a large number of interacting particles
    Quantum technologies
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