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22 papers · 2 filters
Schur-Weyl Duality for the Clifford Group with Applications: Property Testing, a Robust Hudson Theorem, and de Finetti Representations
David Gross, Sepehr Nezami, Michael Walter
Schur-Weyl duality is a ubiquitous tool in quantum information. At its heart is the statement that the space of operators that commute with the tensor powers of all unitaries is sp…
From estimation of quantum probabilities to simulation of quantum circuits
Hakop Pashayan, Stephen D. Bartlett, David Gross
Investigating the classical simulability of quantum circuits provides a promising avenue towards understanding the computational power of quantum systems. Whether a class of quantu…
Deterministic realization of collective measurements via photonic quantum walks
Zhibo Hou, Jun-Feng Tang, Jiangwei Shang +7
Collective measurements on identically prepared quantum systems can extract more information than local measurements, thereby enhancing information-processing efficiency. Although…
Generalized Pauli constraints in small atoms
Christian Schilling, Murat Altunbulak, Stefan Knecht +5
The natural occupation numbers of fermionic systems are subject to non-trivial constraints, which include and extend the original Pauli principle. A recent mathematical breakthroug…
Locality at the boundary implies gap in the bulk for 2D PEPS
Michael J. Kastoryano, Angelo Lucia, David Perez-Garcia
Proving that the parent Hamiltonian of a Projected Entangled Pair State (PEPS) is gapped remains an important open problem. We take a step forward in solving this problem by showin…
Universally Fisher-Symmetric Informationally Complete Measurements
Huangjun Zhu, Masahito Hayashi
A quantum measurement is Fisher symmetric if it provides uniform and maximal information on all parameters that characterize the quantum state of interest. Using (complex projectiv…