Realizing quantum speed limit in open system with a PT-symmetric trapped-ion qubit

• URL: http://arxiv.org/abs/2206.00940v1
• Date: Thu, 2 Jun 2022 09:02:47 GMT
• Title: Realizing quantum speed limit in open system with a PT-symmetric trapped-ion qubit
• Authors: Pengfei Lu, Teng liu, Yang Liu, Xinxin Rao, Qifeng Lao, Hao Wu, Feng Zhu, Le Luo
• Abstract summary: We experimentally confirm the proposal in a single dissipative qubit system. We find that the evolution time of its reversal operation increases with the increasing dissipation intensity.
• Score: 8.108489903565584
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Evolution time of a qubit under a Hamiltonian operation is one of the key issues in quantum control, quantum information processing and quantum computing. It has a lower bound in Hermitian system, which is limited by the coupling between two states of the qubit, while it is proposed that in a non-Hermitian system it can be made much smaller without violating the time-energy uncertainty principle. Here we have experimentally confirmed the proposal in a single dissipative qubit system and demonstrate that the evolution time of a qubit from an initial state to an arbitrary state can be controlled by tuning the dissipation intensity in a non-Hermitian Parity-Time-Symmetric ($\mathcal{P T}$-symmetric) quantum system. It decreases with increasing dissipation intensity and also gives a tighter bound for quantum speed limit (QSL). We also find that the evolution time of its reversal operation increases with the increasing dissipation intensity. These findings give us a well-controlled knob for speeding up the qubit operation, and pave the way towards fast and practical quantum computation, opening the door for solving sophisticated problems with only a few qubits.

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