Robust Generation of Logical Qubit Singlet States with Reverse Engineering and Optimal Control with Spin Qubits

Kang, Yi‐Hao; Shi, Zhi‐Cheng; Xia, Yan; Song, Jie

doi:10.1002/qute.202000113

Cited by 7 publications

(3 citation statements)

References 84 publications

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“…In the present protocol, the spin qubits satisfy the exchange symmetry, and they may suffer from the collective bit-flip error and the collective dephasing caused by the environment-induced decoherence [110][111][112]. In this case, the evolution of the system is governed by the master equation as [112][113][114]…”

Section: Numerical Simulations and Discussionmentioning

confidence: 99%

Nonadiabatic geometric quantum computation of W-state codes using invariant-based reverse engineering

Wang¹,

Ni²,

Chen³

et al. 2022

Laser Phys. Lett.

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In this paper, we propose a protocol to realize nonadiabatic geometric quantum computation (NGQC)of W-state codes in a spin system using invariant-based reverse engineering. The Heisenberg XY interaction of spin qubits provides a two-dimensional computational subspace spanned by a pair of W states. By applying a time-dependent magnetic on the spin qubits, we realize the effective Pauli operations for the computational subspace. Assisted by the invariant-based reverse engineering, the waveform of the control field is designed and the evolution paths for the NGQC is found. The performance of the protocol under the influence of experimental imperfections is estimated by the numerical simulations with available parameters. The results demonstrate that the protocol is robust against systematic error, random noise and decoherence. Therefore, the protocol may be promising to implement fast and robust manipulation of W states in spin systems.

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Section: Numerical Simulations and Discussionmentioning

confidence: 99%

Nonadiabatic geometric quantum computation of W-state codes using invariant-based reverse engineering

Wang¹,

Ni²,

Chen³

et al. 2022

Laser Phys. Lett.

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“…Apart from its significant application in QEC, parity measurement also plays an important role in the field of quantum information processing (QIP), [13][14][15][16][17][18][19][20][21][22][23][24] such as quantum computation, [25][26][27][28][29][30][31] generating entangled states, [32][33][34][35][36][37][38][39][40] purifying entangled states, [41][42][43][44][45][46] and quantum teleportation. [47][48][49] Traditional parity measurement destroys the original state in the system while obtaining parity information, which leads to the waste of quantum entanglement resources.…”

Section: Introductionmentioning

confidence: 99%

Precise Nondestructive Parity Measurement of Artificial Atoms Using a Superconducting Resonator and Homodyne Measurement

et al. 2023

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In this paper, a robust and accurate protocol is proposed to realize nondestructive parity measurement of artificial atoms using a superconducting resonator and homodyne measurement. With the help of an additional microwave driving field, the cavity field evolves into a coherent state or remains in a vacuum state according to the parity of the atoms. Consequently, the parity information of atoms can be read out by a homodyne measurement on the cavity. Parity information can be obtained without destroying the original state of the system, which means that the state can be further applied to other quantum information processing tasks after a parity measurement. The numerical simulation results show that the protocol is robust against systematic error, random noise, and decoherence. Therefore, this protocol can provide a feasible viewpoint for nondestructive parity measurement.

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“…As a transmission channel for quantum teleportation, quantum entanglement [17] is an important physical resource in many quantum information processing tasks [18][19][20][21][22]. The use of maximally entangled states as quantum channels usually means deterministic information processing tasks with unit fidelity.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic resumable quantum teleportation for an arbitrary two-qubit entangled state with different quantum channels

Meng¹,

Zhang²,

Cheng³

et al. 2022

Laser Phys.

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We propose two probabilistic resumable quantum teleportation schemes for an arbitrary two-qubit entangled state with different quantum channels. The characteristic of our schemes is that the initial state in the sender’s hand can be recovered instead of being destroyed when teleportation fails, so we can improve the success probabilities by repeating the teleportation process more times. The analysis results show that the number of repetitions required for successful teleportation depends on the entanglement strength of the quantum channels, and even weak entanglement enables a high probability of success.

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Robust Generation of Logical Qubit Singlet States with Reverse Engineering and Optimal Control with Spin Qubits

Cited by 7 publications

References 84 publications

Nonadiabatic geometric quantum computation of W-state codes using invariant-based reverse engineering

Nonadiabatic geometric quantum computation of W-state codes using invariant-based reverse engineering

Precise Nondestructive Parity Measurement of Artificial Atoms Using a Superconducting Resonator and Homodyne Measurement

Probabilistic resumable quantum teleportation for an arbitrary two-qubit entangled state with different quantum channels

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