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
Universal quantum computation using Ising anyons from a non-semisimple topological quantum field theory
Sign Up to like & getrecommendations! Published in 2024 at "Nature Communications"
DOI: 10.1038/s41467-025-61342-8
Abstract: We propose a framework for topological quantum computation using newly discovered non-semisimple analogs of topological quantum field theories in 2 + 1 dimensions. These enhanced theories offer more powerful models for quantum computation. The conventional theory of… read more here.
Keywords: topological quantum; universal quantum; quantum computation; ising anyons ... See more keywords
Universal quantum operations and ancilla-based read-out for tweezer clocks
Sign Up to like & getrecommendations! Published in 2024 at "Nature"
DOI: 10.1038/s41586-024-08005-8
Abstract: Enhancing the precision of measurements by harnessing entanglement is a long-sought goal in quantum metrology1,2. Yet attaining the best sensitivity allowed by quantum theory in the presence of noise is an outstanding challenge, requiring optimal… read more here.
Keywords: operations ancilla; universal quantum; based read; clock ... See more keywords
Revealing universal quantum contextuality through communication games
Sign Up to like & getrecommendations! Published in 2019 at "Scientific Reports"
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
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
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
Sign Up to like & getrecommendations! Published in 2022 at "Physical Review A"
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
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review A"
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
A Universal Quantum Computer From Relativistic Motion
Sign Up to like & getrecommendations! Published in 2024 at "Physical review letters"
DOI: 10.1103/physrevlett.134.190601
Abstract: We present an explicit construction of a relativistic quantum computing architecture using a variational quantum circuit approach that is shown to allow for universal quantum computing. The variational quantum circuit consists of tunable single-qubit rotations… read more here.
Keywords: quantum field; quantum computer; universal quantum; quantum ... See more keywords
Measurement-free, scalable, and fault-tolerant universal quantum computing.
Sign Up to like & getrecommendations! Published in 2024 at "Science advances"
DOI: 10.1126/sciadv.adv2590
Abstract: Reliable execution of large-scale quantum algorithms requires robust underlying operations, which is addressed by quantum error correction (QEC). Most modern QEC protocols rely on measurements and feed-forward operations, which are experimentally demanding and often prone… read more here.
Keywords: universal quantum; quantum computing; quantum; fault tolerant ... See more keywords