Entanglement and quantum computation with ions in thermal motion

By Anders Søndberg Sørensen, Klaus Mølmer. 2000

634 citations recorded by the source corpus.

With bichromatic fields, it is possible to deterministically produce entangled states of trapped ions. In this paper we present a unified analysis of this process for both weak and strong fields, for slow and fast gates. Simple expressions for the fidelity of creating maximally entangled states of two or an arbitrary number of ions under nonideal conditions are derived and discussed.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/0f33d25d0d87038df1537e491d81821b122c50e3

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

The 2019 surface acoustic waves roadmap (2019, background): “Most notably, significant progress has been made on coupling defect centers in diamond and silicon carbide (see section 4) to propagating and localized SAWs [70].”
Real-time dynamics of lattice gauge theories with a few-qubit quantum computer (2016, methodology): “More specifically, a universal set of high-fidelity quantum operations is available, consisting of collective rotations around the equator of the Bloch sphere, addressed rotations around the Z axis and entangling Mølmer-Sørensen (MS) gates [26].”
Quantum computing with trapped ions (2008, methodology): “Another possibility to implement a two-qubit gate is to use laser radiation tuned close to the motional sidebands (Sørensen and Mølmer, 1999; Mølmer and Sørensen, 1999; Sørensen and Mølmer, 2000; Solano et al., 1999).”
Quantum Chemistry Calculations on a Trapped-Ion Quantum Simulator (2018, background): “[94] A Sørensen and Klaus Mølmer, “Entanglement and quantum computation with ions in thermal motion,” Physical Review A 62, 022311 (2000).”
Modular entanglement of atomic qubits using photons and phonons (2014, background): “c) We entangle atomic spins within module A through spin dependent optical dipole forces [5, 23] .”
A Race-Track Trapped-Ion Quantum Processor (2023, methodology): “2Q gates are implemented with a phase-sensitive Mølmer-Sørensen (MS) gate [32, 33] sandwiched between 1Q wrapper pulses (using the same laser beams as the MS interaction) to generate the parameterized gate UZZ(θ) = exp (−iθZZ/2) [33–36].”
Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate (2003, background): “Evaluation of the integrals in equation (8) yields:”
Demonstration of fault-tolerant universal quantum gate operations (2021, methodology): “Two-qubit gates are realized by the MølmerSørensen interaction [34] described by MSij(θ) = exp(−i θ2σ (i) x σ (j) x ).”
Demonstration of the trapped-ion quantum CCD computer architecture (2020, methodology): “TQ gates: We operate a Mølmer-Sørensen interaction [28] in the phase-sensitive configuration [29, 30] and add SQ wrapper pulses driven with the same lasers (Fig.”
Quantum metrology with nonclassical states of atomic ensembles (2016, background): “The Mølmer-Sørensen gate (Mølmer and Sørensen, 1999; Sørensen and Mølmer, 2000) is obtained setting Ô = 12 ∑N i=1 σ̂ (i) y = Ĵy (or Ô = Ĵx).”