Generating a statet-design by diagonal quantum circuits

DOI10.1088/1367-2630/16/5/053043zbMath1451.81150arXiv1311.1128OpenAlexW3106034155MaRDI QIDQ5143214

M. Murao, Masato Koashi, Yoshifumi Nakata

Publication date: 11 January 2021

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.1128

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum state estimation, approximate cloning (81P50) Quantum gates (81P65)

Related Items (4)

Low rank matrix recovery from rank one measurements ⋮ (Pseudo) random quantum states with binary phase ⋮ Commuting quantum circuits and complexity of Ising partition functions ⋮ Unitary 2-designs from random X- and Z-diagonal unitaries

Cites Work

• Comment on ``Random quantum circuits are approximate 2-designs by A.W. Harrow and R.A. Low (Commun. Math. Phys. 291, 257-302 (2009))
• Random measurement bases, quantum state distinction and applications to the hidden subgroup problem
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• Lie groups and algebras with applications to physics, geometry, and mechanics
• Local random quantum circuits are approximate polynomial-designs: numerical results
• Classical simulation of commuting quantum computations implies collapse of the polynomial hierarchy
• Pseudo-Random Unitary Operators for Quantum Information Processing
• Temporally unstructured quantum computation
• Large deviation bounds for k -designs
• Efficient Quantum Tensor Product Expanders and k-Designs
• Quantum data hiding
• Symmetric informationally complete quantum measurements
• The emergence of typical entanglement in two-party random processes
• DIAGONAL-UNITARY 2-DESIGN AND THEIR IMPLEMENTATIONS BY QUANTUM CIRCUITS

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