Lee–Yang theory clearly demonstrates where the phase transition of many-body systems occurs and the asymptotic behavior near the phase transition using the partition function under complex parameters. The complex par...Lee–Yang theory clearly demonstrates where the phase transition of many-body systems occurs and the asymptotic behavior near the phase transition using the partition function under complex parameters. The complex parameters make the direct investigation of Lee–Yang theory in practical systems challenging. Here we construct a non-Hermitian quantum system that can correspond to the one-dimensional Ising model with imaginary parameters through the equality of partition functions. By adjusting the non-Hermitian parameter,we successfully obtain the partition function under different imaginary magnetic fields and observe the Lee–Yang zeros. We also observe the critical behavior of free energy in vicinity of Lee–Yang zero that is consistent with theoretical prediction. Our work provides a protocol to study Lee–Yang zeros of the one-dimensional Ising model using a single-qubit non-Hermitian system.展开更多
There are some problems that quantum computers seem to be exponentially faster than classical computers, like factoring large numbers, machine learning, and simulation of quantum systems. Constructing an appropriate q...There are some problems that quantum computers seem to be exponentially faster than classical computers, like factoring large numbers, machine learning, and simulation of quantum systems. Constructing an appropriate quantum algorithm becomes more important for solving these specific problems. In principle, any quantum algorithm can recast by a quantum random walk algorithm. Although quantum random walk with a few qubits has been implemented in a variety of systems, the experimental demonstration of solid-state quantum random walk remains elusive. Here we report the experimental implementation of the quantum continuous-time random walk algorithm by a two-qubit quantum processor in a nitrogen–vacancy center in diamond. We found that quantum random walk on a circle does not converge to any stationary distribution and exhibit a reversible property. Our results represent a further investigation of quantum walking dynamics in solid spin platforms, may also lead to other practical applications by the use of quantum continuous-time random walk for quantum algorithm design and quantum coherence transport.展开更多
Molecular qubits are promising as they can benefit from tailoring and versatile design of chemistry.It is essential to reduce the decoherence of molecular qubits caused by their interactions with the environment.Herei...Molecular qubits are promising as they can benefit from tailoring and versatile design of chemistry.It is essential to reduce the decoherence of molecular qubits caused by their interactions with the environment.Herein the dynamical decoupling(DD)technique is utilized to combat such decoherence.The coherence time for a transitionmetal complex(PPh_(4))_(2)[Cu(mnt)_(2)]is prolonged from 6.8μs to 1.4 ms.The ratio of the coherence time and the length ofπ/2 pulse,defined as the single qubit figure of merit(QM),reaches 1.4×10^(5),which is 40 times greater than what previously reported for this molecule.Our results show that molecular qubits,with milliseconds coherence time,are promising candidates for quantum information processing.展开更多
基金supported by the National Key R&D Program of China (Grant No. 2021YFB3202800)the National Natural Science Foundation of China (Grant No. 12174373)+2 种基金the Chinese Academy of Sciences (Grant No. GJJSTD20200001)the Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0302200)Anhui Initiative in Quantum Information Technologies (Grant No. AHY050000)。
文摘Lee–Yang theory clearly demonstrates where the phase transition of many-body systems occurs and the asymptotic behavior near the phase transition using the partition function under complex parameters. The complex parameters make the direct investigation of Lee–Yang theory in practical systems challenging. Here we construct a non-Hermitian quantum system that can correspond to the one-dimensional Ising model with imaginary parameters through the equality of partition functions. By adjusting the non-Hermitian parameter,we successfully obtain the partition function under different imaginary magnetic fields and observe the Lee–Yang zeros. We also observe the critical behavior of free energy in vicinity of Lee–Yang zero that is consistent with theoretical prediction. Our work provides a protocol to study Lee–Yang zeros of the one-dimensional Ising model using a single-qubit non-Hermitian system.
基金supported by the funding provided by the Educational Commission of Hubei Province (B2020298)the Natural Science Foundation of Hubei Province (2021CFB212)the Youth Innovation Promotion Association of Chinese A cademy of Sciences。
基金Project supported by the National Key Research and Development Program of China(Grant Nos.2018YFA0306600 and 2016YFB0501603)the National Natural Science Foundation of China(Grant No.11761131011)+2 种基金the Fund from the Chinese Academy of Sciences(Grant Nos.GJJSTD20170001,QYZDYSSW-SLH004,and QYZDB-SSW-SLH005)the Anhui Initiative Fund in Quantum Information Technologies,China(Grant No.AHY050000)the Youth Innovation Promotion Association of the Chinese Academy of Sciences
文摘There are some problems that quantum computers seem to be exponentially faster than classical computers, like factoring large numbers, machine learning, and simulation of quantum systems. Constructing an appropriate quantum algorithm becomes more important for solving these specific problems. In principle, any quantum algorithm can recast by a quantum random walk algorithm. Although quantum random walk with a few qubits has been implemented in a variety of systems, the experimental demonstration of solid-state quantum random walk remains elusive. Here we report the experimental implementation of the quantum continuous-time random walk algorithm by a two-qubit quantum processor in a nitrogen–vacancy center in diamond. We found that quantum random walk on a circle does not converge to any stationary distribution and exhibit a reversible property. Our results represent a further investigation of quantum walking dynamics in solid spin platforms, may also lead to other practical applications by the use of quantum continuous-time random walk for quantum algorithm design and quantum coherence transport.
基金Supported by the National Key R&D Program of China(Grant Nos.2018YFA0306600 and 2016YFB0501603)the Chinese Academy of Sciences(Grant Nos.GJJSTD20170001,QYZDY-SSW-SLH004,and QYZDB-SSW-SLH005)+2 种基金Anhui Initiative in Quantum Information Technologies(Grant No.AHY050000)the Youth Innovation Promotion Association of Chinese Academy of Sciences for their supportthe support from Wuhan National High Magnetic Field Center(Grant No.2015KF06)。
文摘Molecular qubits are promising as they can benefit from tailoring and versatile design of chemistry.It is essential to reduce the decoherence of molecular qubits caused by their interactions with the environment.Herein the dynamical decoupling(DD)technique is utilized to combat such decoherence.The coherence time for a transitionmetal complex(PPh_(4))_(2)[Cu(mnt)_(2)]is prolonged from 6.8μs to 1.4 ms.The ratio of the coherence time and the length ofπ/2 pulse,defined as the single qubit figure of merit(QM),reaches 1.4×10^(5),which is 40 times greater than what previously reported for this molecule.Our results show that molecular qubits,with milliseconds coherence time,are promising candidates for quantum information processing.
