Hybrid Quantum Computing with Conditional Beam Splitter Gate in Trapped Ion System

Gan, Jaren; Maslennikov, Gleb; Tseng, Ko-Wei; Nguyen, Chi Huan; Matsukevich, Dzmitry

doi:10.1103/physrevlett.124.170502

Cited by 51 publications

(44 citation statements)

References 57 publications

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“…Such a operator is used as an entangles of output fields [31,32]. Recently, a conditional beam-splitter quantum gate between the ion's spin states and the two radial modes of single trapped ion was demonstrated [33]. As we see the relevant information of the parameter λ is encoded in the phase θ and thus it can be determined by detecting the phonon state populations e.g., either by detecting axial breathing or radial rocking phonon distributions.…”

Section: B Casementioning

confidence: 88%

Quantum parameter estimation of nonlinear coupling in trilinear Hamiltonian with trapped ions

Ivanov

2021

Preprint

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I propose an efficient method for measuring non-linear coupling between the collective axial breathing mode and the radial rocking mode induced by the mutual Coulomb repulsion in linear ion crystal. The quantum sensing technique is based on the laser induced coupling between one of the vibrational modes and the internal ion's spin states which allows to estimate the non-linear coupling either by measuring the phonon probability distribution or directly be observing the Ramsey-type oscillations of the ion spin states. I show that due to the presence of non-linear phonon coupling the off-resonance interaction between the ion spin states and the axial breathing mode leads to spin-dependent phonon squeezing of the radial rocking mode. Thus the non-linear coupling can be estimated by measuring population distribution of the motional squeezed state. Furthermore, I show that the off-resonance interaction between the spin and the radial rocking mode creates a spin-dependent beam splitter operation between the two vibrational modes. Thus, the parameter estimation can be carried out by detecting the ion spin populations. Finally, I show that the measurement uncertainty precision can reach the Heisenberg limit by using an entangled states between the two collective modes.

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Section: B Casementioning

confidence: 88%

Quantum parameter estimation of nonlinear coupling in trilinear Hamiltonian with trapped ions

Ivanov

2021

Preprint

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“…This interaction is useful for CVQC [2,4,53], and can also be used to cool multiple motional modes of trapped ion crystals [57,58]. This interaction was experimentally demonstrated in trapped ions by modulating the voltages of the trap electrodes [57], and with a running optical lat-tice [32]. Instead, we here implement Eq.…”

Section: Beam Splittermentioning

confidence: 99%

“…Existing schemes that generate nonlinear interactions with respect to their motional coupling are ∝ η 2 or higher order, making them significantly weaker than ∝ η interactions. These higher-order interactions include the state-dependent * robert.sutherland@utsa.edu beam splitter and one-or two-mode squeezing operations, and can also be used to generate non-Gaussian states [32][33][34].…”

Section: Introductionmentioning

confidence: 99%

Universal hybrid quantum computing in trapped ions

Sutherland

Srinivas

2021

Phys. Rev. A

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Using discrete and continuous variable subsystems, hybrid approaches to quantum information could enable more quantum computational power for the same physical resources. Here, we propose a hybrid scheme that can be used to generate the necessary Gaussian and non-Gaussian operations for universal continuous variable quantum computing in trapped ions. This scheme utilizes two linear spin-motion interactions to generate a broad set of nonlinear effective spin-motion interactions including one-and two-mode squeezing, beam splitter, and trisqueezing operations in trapped ion systems. We discuss possible experimental implementations using laser-based and laser-free approaches.

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“…While such strategies provide advantages over linear interferometry, these techniques often rely on strong nonlinearities which are difficult to engineer or are applicable only to a specific type of quantum system. In contrast, swap gates provide highly nonlinear interactions and, although challenging, are available in a broad range of experimental platforms [32][33][34][35][36] and are thus ideally suited for nonlinear interferometry. The controlled-swap gate is a particularly attractive gate as it is an essential ingredient of swap tests which are useful for measuring properties of quantum states without full tomography [37], in particular state overlap and purity [38,39], and other verification tasks [40].…”

mentioning

confidence: 99%

“…The second swap test is then used to estimate a phase shift on one of the modes from the probability that an antisymmetric state will be projected onto the symmetric subspace or vice versa. In trappedion and superconducting systems, where the controlledswap gates are readily available [34,36,39], interferometry with NOON states becomes much more straightforward: a NOON state can be both prepared and measured in a single step irrespective of its size. The only resource needed is then an input Fock state |n , for which efficient preparation methods exist in both circuit QED [41][42][43] and trapped-ion systems [44,45].…”

mentioning

confidence: 99%

Swap-test interferometry with biased ancilla noise

Černotík¹,

Pietikäinen²,

Puri³

et al. 2021

Preprint

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The Mach-Zehnder interferometer is a powerful device for detecting small phase shifts between two light beams. Simple input states-such as coherent states or single photons-can reach the standard quantum limit of phase estimation while more complicated states can be used to reach Heisenberg scaling; the latter, however, require complex states at the input of the interferometer which are difficult to prepare. The quest for highly sensitive phase estimation therefore calls for interferometers with nonlinear devices which would make the preparation of these complex states more efficient.Here, we show that the Heisenberg scaling can be recovered with simple input states (including Fock and coherent states) when the linear mirrors in the interferometer are replaced with controlled-swap gates and measurements on ancilla qubits. These swap tests project the input Fock and coherent states onto NOON and entangled coherent states, respectively, leading to improved sensitivity to small phase shifts in one of the interferometer arms. We perform detailed analysis of ancilla errors, showing that biasing the ancilla towards phase flips offers a great advantage, and perform thorough numerical simulations of a possible implementation in circuit quantum electrodynamics. Our results thus present a viable approach to phase estimation approaching Heisenberg-limited sensitivity.

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Hybrid Quantum Computing with Conditional Beam Splitter Gate in Trapped Ion System

Cited by 51 publications

References 57 publications

Quantum parameter estimation of nonlinear coupling in trilinear Hamiltonian with trapped ions

Quantum parameter estimation of nonlinear coupling in trilinear Hamiltonian with trapped ions

Universal hybrid quantum computing in trapped ions

Swap-test interferometry with biased ancilla noise

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