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20022026
most citedMultilayer Networks

3.2k citations

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20 papers · 1 filter

quant-ph2018★ 39 cited

Analog Errors in Ising Machines

Tameem Albash, Victor Martin-Mayor, Itay Hen

Recent technological breakthroughs have precipitated the availability of specialized devices that promise to solve NP-Hard problems faster than standard computers. These `Ising Mac…

quant-ph2017★ 12 cited

Tensorial dynamics on the space of quantum states

J. F. Cariñena, J. Clemente-Gallardo, J. A. Jover-Galtier +1

A geometric description of the space of states of a finite-dimensional quantum system and of the Markovian evolution associated with the Kossakowski-Lindblad operator is presented.…

quant-ph2017★ 66 cited

Temperature scaling law for quantum annealing optimizers

Tameem Albash, Victor Martin-Mayor, Itay Hen

Physical implementations of quantum annealing unavoidably operate at finite temperatures. We point to a fundamental limitation of fixed finite temperature quantum annealers that pr…

quant-ph2017★ 26 cited

Advantages of Unfair Quantum Ground-State Sampling

Brian Hu Zhang, Gene Wagenbreth, Victor Martin-Mayor +1

The debate around the potential superiority of quantum annealers over their classical counterparts has been ongoing since the inception of the field by Kadowaki and Nishimori close…

quant-ph2016★ 8 cited

Entanglement entropy and Möbius transformations for critical fermionic chains

F. Ares, J. G. Esteve, F. Falceto +1

Entanglement entropy may display a striking new symmetry under Möbius transformations. This symmetry was analysed in our previous work for the case of a non-critical (gapped) free…

quant-ph2016★ 32 cited

Practical engineering of hard spin-glass instances

Jeffrey Marshall, Victor Martin-Mayor, Itay Hen

Recent technological developments in the field of experimental quantum annealing have made prototypical annealing optimizers with hundreds of qubits commercially available. The exp…

quant-ph2015★ 51 cited

Entanglement in fermionic chains with finite range coupling and broken symmetries

F. Ares, J. G. Esteve, F. Falceto +1

We obtain a formula for the determinant of a block Toeplitz matrix associated with a quadratic fermionic chain with complex coupling. Such couplings break reflection symmetry and/o…

quant-ph2015★ 61 cited

Unraveling Quantum Annealers using Classical Hardness

Victor Martin-Mayor, Itay Hen

Recent advances in quantum technology have led to the development and manufacturing of experimental programmable quantum annealing optimizers that contain hundreds of quantum bits.…

quant-ph2014★ 34 cited

Quasipinning and selection rules for excitations in atoms and molecules

Carlos L. Benavides-Riveros, Michael Springborg

Postulated by Pauli to explain the electronic structure of atoms and molecules, the exclusion principle establishes an upper bound of 1 for the fermionic natural occupation numbers…

quant-ph2014★ 23 cited

Entanglement of several blocks in fermionic chains

F. Ares, J. G. Esteve, F. Falceto

In this paper we propose an expression for the entanglement entropy of several intervals in a stationary state of a free, translational invariant Hamiltonian in a fermionic chain.…

quant-ph2014★ 66 cited

Excited state entanglement in homogeneous fermionic chains

F. Ares, J. G. Esteve, F. Falceto +1

We study the Renyi entanglement entropy of an interval in a periodic fermionic chain for a general eigenstate of a free, translational invariant Hamiltonian. In order to analytical…

quant-ph2013★ 48 cited

Quasi-pinning and entanglement in the lithium isoelectronic series

Carlos L. Benavides-Riveros, José M. Gracia-Bondía, Michael Springborg

The Pauli exclusion principle gives an upper bound of 1 on the natural occupation numbers. Recently there has been an intriguing amount of theoretical evidence that there is a plet…

quant-ph2012★ 72 cited

Many-body transverse interactions in the quantum annealing of the p-spin ferromagnet

Beatriz Seoane, Hidetoshi Nishimori

We study the performance of quantum annealing for the simple -body infinite-range ferromagnetic Ising model. In particular, we generalize the transverse antiferromagnetic intera…

quant-ph2012★ 5 cited

Physical Wigner functions

Carlos L. Benavides-Riveros, José M. Gracia-Bondía

In spite of their potential usefulness, the characterizations of Wigner functions for Bose and Fermi statistics given by O'Connell and Wigner himself almost thirty years ago has dr…

quant-ph2012★ 113 cited

Quantum Navigation and Ranking in Complex Networks

Eduardo Sánchez-Burillo, Jordi Duch, Jesús Gómez-Gardenes +1

Complex networks are formal frameworks capturing the interdependencies between the elements of large systems and databases. This formalism allows to use network navigation methods…

quant-ph2012★ 11 cited

Boundary contributions to the hypervirial theorem

J. G. Esteve, F. Falceto, Pulak Ranjan Giri

It is shown that under certain boundary conditions the virial theorem has to be modified. We analyze the origin of the extra term and compute it in particular examples. The Coulomb…

quant-ph2011★ 14 cited

Quantum Optimal Control Theory in the Linear Response Formalism

Alberto Castro, I. V. Tokatly

Quantum optimal control theory (QOCT) aims at finding an external field that drives a quantum system in such a way that optimally achieves some predefined target. In practice this…

quant-ph2011★ 7 cited

Optimal Control of the Electronic Current Density - An application to one- and two-dimensional one-electron systems

David Kammerlander, Alberto Castro, Miguel A. L. Marques

Quantum optimal control theory is a powerful tool for engineering quantum systems subject to external fields such as the ones created by intense lasers. The formulation relies on a…

quant-ph2009★ 35 cited

Generalization of the Hellmann-Feynman theorem

J. G. Esteve, F. Falceto, C. García Canal

The well known Hellmann-Feynman theorem of Quantum Mechanics connected with the derivative of the eigenvalues with respect to a parameter upon which the Hamiltonian depends, is gen…

quant-ph2009★ 68 cited

A Generalized Statistical Complexity Measure: Applications to Quantum Systems

R. Lopez-Ruiz, A. Nagy, E. Romera +1

A two-parameter family of complexity measures based on the Rényi entropies is introduced and characterized by a detailed study of its mathematical properties. T…