On the $${\ell }^2$$ℓ2-Betti numbers of universal quantum groups
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Annalen"
DOI: 10.1007/s00208-017-1531-5
Abstract: We show that the first $${\ell }^2$$ℓ2-Betti number of the duals of the free unitary quantum groups is one, and that all $${\ell }^2$$ℓ2-Betti numbers vanish for the duals of the quantum automorphism groups of… read more here.
Keywords: ell betti; universal quantum; quantum groups; numbers universal ... See more keywords
Revealing universal quantum contextuality through communication games
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DOI: 10.1038/s41598-019-53701-5
Abstract: An ontological model of an operational theory is considered to be universally noncontextual if both preparation and measurement noncontextuality assumptions are satisfied in that model. In this report, we first generalize the logical proofs of… read more here.
Keywords: quantum contextuality; communication; contextuality; universal quantum ... See more keywords
Probabilistic exact universal quantum circuits for transforming unitary operations
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DOI: 10.1103/physreva.100.062339
Abstract: This paper addresses the problem of designing universal quantum circuits to transform $k$ uses of a $d$-dimensional unitary input-operation into a unitary output-operation in a probabilistic heralded manner. Three classes of protocols are considered, parallel… read more here.
Keywords: probabilistic exact; quantum circuits; universal quantum; exact universal ... See more keywords
Universal quantum operation of spin-3/2 Blume-Capel chains
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DOI: 10.1103/physreva.105.032604
Abstract: We propose a logical qubit based on the Blume-Capel model: a higher spin generalization of the Ising chain and which allows for an on-site anisotropy preserving rotational invariance around the Ising axis. We show that… read more here.
Keywords: spin blume; universal quantum; quantum operation; blume capel ... See more keywords
Universal quantum control in zero-field nuclear magnetic resonance
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DOI: 10.1103/physreva.95.052342
Abstract: This paper describes a general method for manipulation of nuclear spins in zero magnetic field. In the absence of magnetic fields, the spins lose the individual information on chemical shifts and inequivalent spins can only… read more here.
Keywords: universal quantum; field; control zero; zero field ... See more keywords
Universal Quantum Magnetometry with Spin States at Equilibrium.
Sign Up to like & getrecommendations! Published in 2018 at "Physical review letters"
DOI: 10.1103/physrevlett.120.260503
Abstract: We address metrological protocols for the estimation of the intensity and the orientation of a magnetic field, and show that quantum-enhanced precision may be achieved by probing the field with an arbitrary spin at thermal… read more here.
Keywords: universal quantum; magnetometry spin; spin states; quantum magnetometry ... See more keywords
Universal Quantum Rewinding Protocol with an Arbitrarily High Probability of Success.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review letters"
DOI: 10.1103/physrevlett.130.110201
Abstract: We present a universal mechanism that, acting on any target qubit, propagates it to the state it had T time units before the experiment started. This protocol works by setting the target on a superposition… read more here.
Keywords: rewinding protocol; protocol; protocol arbitrarily; universal quantum ... See more keywords
Dirac Formulation for Universal Quantum Gates and Shor’s Integer Factorization in High-frequency Electric Circuits
Sign Up to like & getrecommendations! Published in 2020 at "Journal of the Physical Society of Japan"
DOI: 10.7566/jpsj.89.124712
Abstract: Quantum computation may well be performed with the use of electric circuits. Especially, the Schrodinger equation can be simulated by the lumped-element model of transmission lines, which is applicable to low-frequency electric circuits. In this… read more here.
Keywords: frequency electric; universal quantum; high frequency; electric circuits ... See more keywords