Results 1 to 10 of about 3,485,455 (148)
Random quantum circuits are approximate unitary $t$-designs in depth $O\left(nt^{5+o(1)}\right)$ [PDF]
Quantum, 2022 The applications of random quantum circuits range from quantum computing and quantum many-body systems to the physics of black holes. Many of these applications are related to the generation of quantum pseudorandomness: Random quantum circuits are known ...
Jonas Haferkamp
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Random Quantum Circuits Anticoncentrate in Log Depth
PRX Quantum, 2022 We consider quantum circuits consisting of randomly chosen two-local gates and study the number of gates needed for the distribution over measurement outcomes for typical circuit instances to be anticoncentrated, roughly meaning that the probability mass
Alexander M. Dalzell +2 more
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Emergent Statistical Mechanics from Properties of Disordered Random Matrix Product States
PRX Quantum, 2021 The study of generic properties of quantum states has led to an abundance of insightful results. A meaningful set of states that can be efficiently prepared in experiments are ground states of gapped local Hamiltonians, which are well approximated by ...
Jonas Haferkamp +3 more
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Probability density functions for CP-violating rephasing invariants
Nuclear Physics B, 2018 The implications of the anarchy principle on CP violation in the lepton sector are investigated. A systematic method is introduced to compute the probability density functions for the CP-violating rephasing invariants of the PMNS matrix from the Haar ...
Jean-François Fortin +2 more
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Maximum Entropy on Compact Groups
Entropy, 2009 In a compact group the Haar probability measure plays the role of uniform distribution. The entropy and rate distortion theory for this uniform distribution is studied.
Peter Harremoës
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Radial parts of Haar measures and probability distributions on the space of rational matrix-valued functions [PDF]
Izvestiya: Mathematics, 2016 14p
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Entanglement of Three-Qubit Random Pure States
Entropy, 2018 We study entanglement properties of generic three-qubit pure states. First, we obtain the distributions of both the coefficients and the only phase in the five-term decomposition of Acín et al.
Marco Enríquez +2 more
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Resetting Uncontrolled Quantum Systems
Physical Review X, 2018 We consider a scenario where we wish to bring a closed system of known Hilbert space dimension d_{S} (the target), subject to an unknown Hamiltonian evolution, back to its quantum state at a past time t_{0}.
Miguel Navascués
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Right Haar Measure for Convergence in Probability to Quasi Posterior Distributions
The Annals of Mathematical Statistics, 1965 Many statistical problems contain an infinite parameter space or are analyzed as if they contained one. In a Bayesian analysis of such a problem, there is often, for one or more of several reasons, an attraction in employing an infinite measure on parameter space in the role of `prior distribution' of the parameter. The employment of such a quasi prior
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Extension of a Bohr-Jessen type theorem for the Epstein zeta-function in short intervals
Mathematical Modelling and AnalysisLet $Q$ be a positive definite $n \times n$ matrix, $n \in 2\mathbb{N}$, $n \geqslant4$. The Epstein zeta-function $\zeta(s; Q)$, defined for $\mathrm{Re}\,s > \tfrac{n}{2}$, is given by $\zeta(s; Q) = \sum_{\underline{x} \in \mathbb{Z}^n \setminus ...
Aidas Balčiūnas +2 more
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