Universal quantum computing with correlated spin-charge states

Kyriakidis, Jordan; Burkard, Guido

doi:10.1103/physrevb.75.115324

Cited by 19 publications

(28 citation statements)

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“…There are many different ways of implementing such a threespin qubit. In this review we cover the exchangeonly (EO) qubit [2], the spin-charge qubit [5], the hybrid qubit [6,7,8], the resonant exchange (RX) qubit [9,10], and on the always-on exchange-only (AEON) qubit [15]. All of these qubit implementations are realized using three electrons in either a single quantum dot, double quantum dot (DQD), or triple quantum dot (TQD) depending on the qubit implementation.…”

Section: Three-electron Spin Qubitsmentioning

confidence: 99%

“…The spin-charge qubit is a unique implementation for a three-spin qubit since all three electrons are located in a single quantum dot occupying the three lowest orbitals [5]. The qubit states are…”

Section: Spin-charge Qubitmentioning

confidence: 99%

“…Instead of controlling the detuning or the barrier between the QDs one can acquire single-qubit rotations by controlling the confinement potential, particularly, the eccentricity of the confinement potential. Going beyond the Hubbard Hamiltonian and considering electrons in a elliptic confinement potential with eccentricities ω x and ω y the Hamiltonian in the qubit space can be written as [208,5]…”

Section: Spin-charge Qubitmentioning

confidence: 99%

“…[208], the main result is a different dependence of b x and b z with respect to the eccentricity ratio r ≡ ω x /ω y which both can be electrically adjusted by the gates. This allows for fast and all-electric single qubit gates with subnanosecond gate times (τ g ≈ 1 − 10 ps) in GaAs and faster in silicon due to stronger confinement [5].…”

Section: Spin-charge Qubitmentioning

confidence: 99%

“…We start with describing the full system of three electrons in a triple quantum dot, then discuss the charge-stability diagram and restrict ourselves to the relevant subsystem, introduce the qubit states, and discuss important transitions to other charge states [3]. Introducing the various qubit implementations, we begin with the exchange-only qubit [2,4], followed by the spin-charge qubit [5], the hybrid qubit [6,7,8], and the RX qubit[9, 10], discussing for each the single-qubit operations, read-out, and initialization methods, whereas the main focus will be on the RX qubit, whose single-qubit operations are realized by driving the qubit at its resonant frequency in the microwave range similar to electron spin resonance. Two different types of two-qubit operations are presented for the exchange-only and the RX qubit which can be divided into short-ranged and long-ranged interactions.…”

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confidence: 99%

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Three-electron spin qubits

Russ

Burkard

2017

J. Phys.: Condens. Matter

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104

117

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The goal of this article is to review the progress of three-electron spin qubits from their inception to the state of the art. We direct the main focus towards the exchange-only qubit (Bacon et al 2000 Phys. Rev. Lett. 85 1758-61, DiVincenzo et al 2000 Nature 408 339) and its derived versions, e.g. the resonant exchange (RX) qubit, but we also discuss other qubit implementations using three electron spins. For each three-spin qubit we describe the qubit model, the envisioned physical realization, the implementations of single-qubit operations, as well as the read-out and initialization schemes. Two-qubit gates and decoherence properties are discussed for the RX qubit and the exchange-only qubit, thereby completing the list of requirements for quantum computation for a viable candidate qubit implementation. We start by describing the full system of three electrons in a triple quantum dot, then discuss the charge-stability diagram, restricting ourselves to the relevant subsystem, introduce the qubit states, and discuss important transitions to other charge states (Russ et al 2016 Phys. Rev. B 94 165411). Introducing the various qubit implementations, we begin with the exchange-only qubit (DiVincenzo et al 2000 Nature 408 339, Laird et al 2010 Phys. Rev. B 82 075403), followed by the RX qubit (Medford et al 2013 Phys. Rev. Lett. 111 050501, Taylor et al 2013 Phys. Rev. Lett. 111 050502), the spin-charge qubit (Kyriakidis and Burkard 2007 Phys. Rev. B 75 115324), and the hybrid qubit (Shi et al 2012 Phys. Rev. Lett. 108 140503, Koh et al 2012 Phys. Rev. Lett. 109 250503, Cao et al 2016 Phys. Rev. Lett. 116 086801, Thorgrimsson et al 2016 arXiv:1611.04945). The main focus will be on the exchange-only qubit and its modification, the RX qubit, whose single-qubit operations are realized by driving the qubit at its resonant frequency in the microwave range similar to electron spin resonance. Two different types of two-qubit operations are presented for the exchange-only qubits which can be divided into short-ranged and long-ranged interactions. Both of these interaction types are expected to be necessary in a large-scale quantum computer. The short-ranged interactions use the exchange coupling by placing qubits next to each other and applying exchange-pulses (DiVincenzo et al 2000 Nature 408 339, Fong and Wandzura 2011 Quantum Inf. Comput. 11 1003, Setiawan et al 2014 Phys. Rev. B 89 085314, Zeuch et al 2014 Phys. Rev. B 90 045306, Doherty and Wardrop 2013 Phys. Rev. Lett. 111 050503, Shim and Tahan 2016 Phys. Rev. B 93 121410), while the long-ranged interactions use the photons of a superconducting microwave cavity as a mediator in order to couple two qubits over long distances (Russ and Burkard 2015 Phys. Rev. B 92 205412, Srinivasa et al 2016 Phys. Rev. B 94 205421). The nature of the three-electron qubit states each having the same total spin and total spin in z-direction (same Zeeman energy) provides a natural protection against several sources of noise (DiVincenzo et al 2000 Nature 408 339, Taylor et al 2013 Phys. R...

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