2018/09/10 by Xiangyu Kong, Shijie Wei, Jingwei Wen +3
Computer Science · Physics and Astronomy · #Computer science #Creation and annihilation operators #Open quantum system #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Fourier transform #Quantum Information and Cryptography #Quantum algorithm #Quantum and electron transport phenomena #Quantum computer #Quantum dynamics #Quantum error correction #Quantum information #Quantum mechanics #Quantum network #Quantum operation #Quantum phase estimation algorithm #Quantum process #Quantum simulator #Quantum state #Quantum technology #quant-ph
paper · pdf · doi:10.1103/physreva.99.042328
published as Phys. Rev. A 99, 042328 (2019) · 7 pages, 8 figures
arxiv created 2018/09/10 · openalex created_date 2018/09/27 · openalex publication_date 2019/04/22 · arxiv updated 2019/05/01 · openalex updated_date 2026/08/05
The ability to implement quantum operations plays a fundamental role in manipulating quantum systems. Creation and annihilation operators which transform one quantum state into another by adding or subtracting a particle are crucial in constructing the quantum description of many-body quantum theory and quantum field theory. Here we present a quantum algorithm to perform the creation and annihilation operators by the linear combination of unitary operations associated with a two-qubit ancillary system. Our method can realize shift operators akin to creation and annihilation operators simultaneously in the subspace of the whole system. A prototypical experiment was performed with a four-qubit liquid-state nuclear magnetic resonance processor, demonstrating the algorithm via full-state tomography. With a postselected probability of about 50%, the shift operators are realized with a fidelity above 96%. Moreover, our method can be employed to quantum random walk in an arbitrary initial state. With the prosperous development of quantum computing, our work provides a quantum control technology to implement nonunitary evolution in a near-term quantum computer.