Search Results - Theory of computation → Quantum complexity theory

Special Issue “Quantum computation complexity theory and quantum network theory” (Preface) by Junde, Wu

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A general theory of quantum codes connecting quantum computation, complexity and physics

“… Now, general rigorous connections established between approximate quantum error correction and quantum circuit complexity reveal…”
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Computation in generalised probabilisitic theories by Lee, Ciarán M, Barrett, Jonathan

“… computation is intrinsically more powerful than classical computation. At present, the best upper bound known for the power of quantum computation is that , where is a classical complexity class…”
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When a local Hamiltonian must be frustration-free by Sattath, Or, Morampudi, Siddhardh C, Laumann, Chris R, Moessner, Roderich

“…A broad range of quantum optimization problems can be phrased as the question of whether a specific system has a ground state at zero energy, i.e…”
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Adiabatic quantum computation by Albash, Tameem, Lidar, Daniel A.

“… to both classical and quantum complexity theory and condensed matter physics. This review gives an account of the major theoretical developments in the field, while focusing on the closed-system setting…”
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Advanced Simulation of Quantum Computations by Zulehner, Alwin, Wille, Robert

“…Quantum computation is a promising emerging technology which, compared to conventional computation, allows for substantial speed-ups, e.g…”
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Quantum Computation as Gravity by Caputa, Paweł, Magan, Javier M.

“…We formulate Nielsen's geometric approach to circuit complexity in the context of two-dimensional conformal field theories, where series of conformal transformations are interpreted as "unitary…”
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Quantum higher-order Fourier analysis and the Clifford hierarchy by Bu, Kaifeng, Gu, Weichen, Jaffe, Arthur

“… We show that our quantum measures and our related theory of quantum higher-order Fourier analysis characterize the Clifford hierarchy, an important notion of complexity in quantum computation…”
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What Can Quantum Optics Say about Computational Complexity Theory? by Rahimi-Keshari, Saleh, Lund, Austin P., Ralph, Timothy C.

“… interest from both quantum theory and the computational complexity theory point of view. We derive a general formula for calculating the output probabilities, and by considering input…”
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On the complexity and verification of quantum random circuit sampling by Bouland, Adam, Fefferman, Bill, Nirkhe, Chinmay, Vazirani, Umesh

“…A critical milestone on the path to useful quantum computers is the demonstration of a quantum computation that is prohibitively hard for classical computers…”
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Complexity of formation in holography by Chapman, Shira, Marrochio, Hugo, Myers, Robert C.

“…A bstract It was recently conjectured that the quantum complexity of a holographic boundary state can be computed by evaluating the gravitational action on a bulk region known as the Wheeler-DeWitt patch…”
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Quantum computation vs. firewalls by Harlow, Daniel, Hayden, Patrick

“… We argue that the quantum computations required to do these experiments would take a time which is exponential in the entropy of the black hole under study, and we show that for a wide variety…”
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Benchmarking Neural Networks For Quantum Computations by Nguyen, Nam H., Behrman, E. C., Moustafa, Mohamed A., Steck, J. E.

“… they can efficiently solve has not been mapped definitively onto known classical complexity theory. This means that we do not know for which calculations there will be a "quantum advantage," once an algorithm is found…”
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Verification of Quantum Computation: An Overview of Existing Approaches by Gheorghiu, Alexandru, Kapourniotis, Theodoros, Kashefi, Elham

“… We review the most significant approaches to quantum verification and compare them in terms of structure, complexity and required resources…”
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Gravitation from optimized computation: Einstein and beyond by Carrasco, Rafael, Pedraza, Juan F., Svesko, Andrew, Weller-Davies, Zachary

“…A bstract A new principle in quantum gravity, dubbed spacetime complexity, states that gravitational physics emerges from spacetime seeking to optimize the computational cost of its quantum dynamics…”
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Wasserstein complexity of quantum circuits by Li, Lu, Bu, Kaifeng, Enshan Koh, Dax, Jaffe, Arthur, Lloyd, Seth

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Quantum computational supremacy by Harrow, Aram W., Montanaro, Ashley

“…The field of quantum algorithms aims to find ways to speed up the solution of computational problems by using a quantum computer…”
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Quantum algorithmic measurement by Aharonov, Dorit, Cotler, Jordan, Qi, Xiao-Liang

“… However, a systematic treatment and comprehensive framework are missing. Here we initiate the systematic study of experimental quantum physics from the perspective of computational complexity…”
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Quantum advantage with shallow circuits by Bravyi, Sergey, Gosset, David, König, Robert

“…Quantum effects can enhance information-processing capabilities and speed up the solution of certain computational problems…”
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Holographic complexity of LST and single trace TT by Chakraborty, Soumangsu, Katoch, Gaurav, Roy, Shubho R.

“… In particular, we study computational complexity of such a theory through the lens of holography and investigate the signature of non-locality in the short distance behavior of complexity…”
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