Room temperature high-fidelity holonomic single-qubit gate on a solid-state spin

Arroyo-Camejo, Silvia; Lazariev, Andrii; Hell, Stefan W.; Balasubramanian, Gopalakrishnan

doi:10.1038/ncomms5870

Cited by 220 publications

(194 citation statements)

References 30 publications

(37 reference statements)

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“…We would also like to note that for the present physical system imperfect Hadamard gate will also lead to population loss outside the qubit subspace as it is performed indirectly via the |0 e state [22]. This will not directly effect the fidelity but decreases the event rate as discussed earlier.…”

Section: Fig 1 Amentioning

confidence: 99%

Generation of entangled photon strings using NV centers in diamond

2015

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We present a scheme to generate entangled photons using the NV centers in diamond. We show how the long-lived nuclear spin in diamond can mediate entanglement between multiple photons thereby increasing the length of entangled photon string. With the proposed scheme one could generate both n-photon GHZ and cluster states. We present an experimental scheme realizing the same and estimating the rate of entanglement generation both in the presence and absence of a cavity.With controlled generation and manipulation, quantum states of light are efficient carriers of quantum information with applications in quantum computing (QC), communications and cryptography. One of the major drawbacks with optical quantum information processing (QIP) is the absence of suitable nonlinear interactions to realize universal quantum gates, for example a CNOT gate between two photonic qubits. To overcome this difficulty one may choose the implementation of desired quantum computation through a one-way quantum computer model [1] which requires the initialization of the quantum register in a globally entangled cluster state. The computation is then followed by performing only single qubit measurements. The one-way quantum computer or the measurement-based quantum computation using photonic qubits (polarization states) has already been shown to be a fault-tolerant model for QC and is tolerant to qubit losses [2]. The main hurdle in realizing optical QIP using this scheme is the generation of multi-qubit cluster state, the key initialization step of the model. While the experimental implementations succeeded to generate 6-qubit photonic cluster state optically [3], scaling this number further is not so clear. To this end there have been proposals to use solid-state emitters such as a periodically pumped quantum dot (QD) for the generation of a one-dimensional cluster states [4,5]. In this work we consider another possible solidstate system, the NV centers in diamond, to generate multi-photon entangled states.The NV center provides a hybrid spin system in which electron spins are used for fast [6], high-fidelity control [7] and readout [8,9], and nuclear spins are wellisolated from their environment yielding ultra-long coherence time [10]. Electron and nuclear spins could form a small-scale quantum register [11][12][13] allowing for e.g. necessary high-fidelity quantum error correction [11]. Furthermore, the NV electron spin can be entangled with an emitted optical photon [14,15] and further quantum entanglement [16] and quantum teleportation [17] between two remote NV centers have already been experimentally demonstrated. We have also recently demonstrated the ability of this solid-state device to store quantum information from a light field into the defect spins and a repetitive readout of the memory, essential for scalable networks. In addition there have been other proposals to create large scalable QIP in diamond using a photonic architecture [18] where cluster/topological states of the long-lived nuclear spins in various defect center...

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Section: Fig 1 Amentioning

confidence: 99%

Generation of entangled photon strings using NV centers in diamond

2015

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“…This motivates research on quantum computation based on the nonadiabatic geometric phases. Recently, nonadiabatic HQC has been proposed using three-level Λ systems [26] with the experimental implementation of some elementary gates [27][28][29][30]. However, the excited state is resonantly coupled when implementing the quantum gates [26], and thus, its limited lifetime is a main challenge in practical experiments.…”

Section: Introductionmentioning

confidence: 99%

“…Note that this limitation may be avoided in experiments in Refs. [29] and [30] because they use the three magnetic states of a nitrogen-vacancy center in a diamond. However, for a superconducting transmon qubit, this limitation does exist, and recent experiment has verified only single-qubit gates [28].…”

Section: Introductionmentioning

confidence: 99%

Universal holonomic quantum gates in decoherence-free subspace on superconducting circuits

2015

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To implement a set of universal quantum logic gates based on non-Abelian geometric phases, it is a conventional wisdom that quantum systems beyond two levels are required, which is extremely difficult to fulfill for superconducting qubits and appears to be a main reason why only single-qubit gates were implemented in a recent experiment [A. A. Abdumalikov Jr. et al., Nature (London) 496, 482 (2013)]. Here we propose to realize nonadiabatic holonomic quantum computation in decoherence-free subspace on circuit QED, where one can use only the two levels in transmon qubits, a usual interaction, and a minimal resource for the decoherence-free subspace encoding. In particular, our scheme not only overcomes the difficulties encountered in previous studies, but also can still achieve considerably large effective coupling strength, such that high fidelity quantum gates can be achieved. Therefore, the present scheme makes realizing robust holonomic quantum computation with superconducting circuits very promising.

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“…So far, many schemes of realizing nonadiabatic holonomic gates have been put forward for various physical systems . Particularly, nonadiabatic holonomic quantum computation has been experimentally demonstrated with circuit QED, NMR, and nitrogen-vacancy (NV) center in diamond [5,6,13,14].…”

Section: Introductionmentioning

confidence: 99%

Composite nonadiabatic holonomic quantum computation

Zhao

Xing

et al. 2017

Phys. Rev. A

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Nonadiabatic holonomic quantum computation has robust feature in suppressing control errors because of its holonomic feature. However, this kind of robust feature is challenged since the usual way of realizing nonadiabatic holonomic gates introduces errors due to systematic errors in the control parameters. To resolve this problem, we here propose a composite scheme to realize nonadiabatic holonomic gates. Our scheme can suppress systematic errors while preserving holonomic robustness. It is particularly useful when the evolution period is shorter than the coherence time. We further show that our composite scheme can be protected by decoherence-free subspaces. In this case, the strengthened robust feature of our composite gates and the coherence stabilization virtue of decoherence-free subspaces are combined.

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Room temperature high-fidelity holonomic single-qubit gate on a solid-state spin

Cited by 220 publications

References 30 publications

Generation of entangled photon strings using NV centers in diamond

Generation of entangled photon strings using NV centers in diamond

Universal holonomic quantum gates in decoherence-free subspace on superconducting circuits

Composite nonadiabatic holonomic quantum computation

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