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Computing Quantum Mean Values in the Deep Chaotic Regime
Gabriel M. Lando, Olivier Giraud, Denis Ullmo
We study the time evolution of mean values of quantum operators in a regime plagued by two difficulties: The smallness of and the presence of strong and ubiquitous classica…
Quantum parameter estimation with many-body fermionic systems and application to the Hall effect
Olivier Giraud, Mark-Oliver Goerbig, Daniel Braun
We calculate the quantum Fisher information for a generic many-body fermionic system in a pure state depending on a parameter. We discuss the situations where the parameter is impr…
Principles of quantum functional testing
Nadia Milazzo, Olivier Giraud, Giovanni Gramegna +1
With increasing commercial availability of quantum information processing devices the need for testing them efficiently for their specified functionality will arise. Complete quant…
Chaos-Assisted Long-Range Tunneling for Quantum Simulation
Maxime Martinez, Olivier Giraud, Denis Ullmo +4
We present an extension of the chaos-assisted tunneling mechanism to spatially periodic lattice systems. We demonstrate that driving such lattice systems in an intermediate regime…
Truncated moment sequences and a solution to the channel separability problem
Nadia Milazzo, Daniel Braun, Olivier Giraud
We consider the problem of separability of quantum channels via the Choi matrix representation given by the Choi-Jamiołkowski isomorphism. We explore three classes of separability…
Semiclassical evaluation of expectation values
Kush Mohan Mittal, Olivier Giraud, Denis Ullmo
Semiclassical Mechanics allows for a description of quantum systems which preserves their phase information, while using only the system's classical dynamics as an input. Over the…
Optimal Detection of Rotations about Unknown Axes by Coherent and Anticoherent States
John Martin, Stefan Weigert, Olivier Giraud
Coherent and anticoherent states of spin systems up to spin j=2 are known to be optimal in order to detect rotations by a known angle but unknown rotation axis. These optimal quant…
Quantum Hamiltonian Computing protocols for molecular electronics Boolean logic gates
Omid Faizy Namarvar, Olivier Giraud, Bertrand Georgeot +1
Quantum Hamiltonian Computing is a recent approach that uses quantum systems, in particular a single molecule, to perform computational tasks. Within this approach, we present expl…
Entanglement and the truncated moment problem
Fabian Bohnet-Waldraff, Daniel Braun, Olivier Giraud
We map the quantum entanglement problem onto the mathematically well-studied truncated moment problem. This yields a necessary and sufficient condition for separability that can be…
Regularly Decomposable Tensors and Classical Spin States
Liqun Qi, Guofeng Zhang, Daniel Braun +2
A spin- state can be represented by a symmetric tensor of order and dimension . Here, can be a positive integer, which corresponds to a boson; can also be a po…
Tensor eigenvalues and entanglement of symmetric states
Fabian Bohnet-Waldraff, Daniel Braun, Olivier Giraud
Tensor eigenvalues and eigenvectors have been introduced in the recent mathematical literature as a generalization of the usual matrix eigenvalues and eigenvectors. We apply this f…
Partial transpose criteria for symmetric states
Fabian Bohnet-Waldraff, Daniel Braun, Olivier Giraud
We express the positive partial transpose (PPT) separability criterion for symmetric states of multi-qubit systems in terms of matrix inequalities based on the recently introduced…
Average diagonal entropy in non-equilibrium isolated quantum systems
Olivier Giraud, Ignacio García-Mata
The diagonal entropy was introduced as a good entropy candidate especially for isolated quantum systems out of equilibrium. Here we present an analytical calculation of the average…
Quantumness of spin-1 states
Fabian Bohnet-Waldraff, Daniel Braun, Olivier Giraud
We investigate quantumness of spin-1 states, defined as the Hilbert-Schmidt distance to the convex hull of spin coherent states. We derive its analytic expression in the case of pu…
A universal set of qubit quantum channels
Daniel Braun, Olivier Giraud, Ion Nechita +2
We investigate the set of quantum channels acting on a single qubit. We provide an alternative, compact generalization of the Fujiwara-Algoet conditions for complete positivity to…
Parametrization of spin-1 classical states
Olivier Giraud, Petr Braun, Daniel Braun
We give an explicit parametrization of the set of mixed quantum states and of the set of mixed classical states for a spin--1. Classical states are defined as states with a positiv…
Multiqubit symmetric states with high geometric entanglement
J. Martin, O. Giraud, P. A. Braun +2
We propose a detailed study of the geometric entanglement properties of pure symmetric N-qubit states, focusing more particularly on the identification of symmetric states with a h…
Quantum algorithm for exact Monte Carlo sampling
Nicolas Destainville, Bertrand Georgeot, Olivier Giraud
We build a quantum algorithm which uses the Grover quantum search procedure in order to sample the exact equilibrium distribution of a wide range of classical statistical mechanics…
Quantifying Quantumness and the Quest for Queens of Quantum
Olivier Giraud, Petr A. Braun, Daniel Braun
We introduce a measure of ''quantumness'' for any quantum state in a finite dimensional Hilbert space, based on the distance between the state and the convex set of classical state…
Entanglement and localization of wavefunctions
O. Giraud, J. Martin, B. Georgeot
We review recent works that relate entanglement of random vectors to their localization properties. In particular, the linear entropy is related by a simple expression to the inver…
Quantum circuit for three-qubit random states
Olivier Giraud, Marko Znidaric, Bertrand Georgeot
We explicitly construct a quantum circuit which exactly generates random three-qubit states. The optimal circuit consists of three CNOT gates and fifteen single qubit elementary ro…
Quantum computation of multifractal exponents through the quantum wavelet transform
I. Garcia-Mata, O. Giraud, B. Georgeot
We study the use of the quantum wavelet transform to extract efficiently information about the multifractal exponents for multifractal quantum states. We show that, combined with q…
Entropy of entanglement and multifractal exponents for random states
Olivier Giraud, John Martin, Bertrand Georgeot
We relate the entropy of entanglement of ensembles of random vectors to their generalized fractal dimensions. Expanding the von Neumann entropy around its maximum we show that the…
Classicality of spin states
Olivier Giraud, Petr Braun, Daniel Braun
We extend the concept of classicality in quantum optics to spin states. We call a state ``classical'' if its density matrix can be decomposed as a weighted sum of angular momentum…