Experimental Simulation of Bosonic Creation and Annihilation Operators in a Quantum Processor

Abstract

The ability of implementing quantum operations plays fundamental role in manipulating quantum systems. Creation and annihilation operators which transform a quantum state to another by adding or subtracting a particle are crucial of constructing quantum description of many body quantum theory and quantum field theory. Here we present a quantum algorithm to perform them by the linear combination of unitary operations associated with a two-qubit ancillary system. Our method can realize creation and annihilation operators simultaneously in the subspace of the whole system. A prototypical experiment was performed with a 4-qubit Nuclear Magnetic Resonance processor, demonstrating the algorithm via full state tomography. The creation and annihilation operators are realized with a fidelity all above 96% and a probability about 50%. 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 non-unitary evolution in near-term quantum computer.

arXiv comment7 pages, 8 figures

References in corpus (19)

• Quantum random walks - an introductory overview
• NMR Techniques for Quantum Control and Computation
• A Quantum Random Walk Search Algorithm
• Universal computation by quantum walk
• Quantum walks of correlated particles
• Quantum walks: a comprehensive review
• Experimental realization of a quantum algorithm
• Quantum chemistry calculations on a trapped-ion quantum simulator
• Implementation of the Quantum Fourier Transform
• The General Quantum Interference Principle and the Duality Computer
• Liquid State NMR as a Test-bed for Developing Quantum Control Methods
• Practical measurement of joint weak values and their connection to the annihilation operator
• Quantum walk as a generalized measuring device
• Simulation of chemical reaction dynamics on an NMR quantum computer
• Realization of near-deterministic arithmetic operations and quantum state engineering
• Creating quanta with "annihilation" operator
• Experimental entanglement-assisted quantum delayed-choice experiment
• Number operator-annihilation operator uncertainty as an alternative of the number-phase uncertainty relation
• Experimentally superposing two pure states with partial prior knowledge

Cited by in corpus (2)

• Probabilistic Nonunitary Gate in Imaginary Time Evolution
• Controlling NMR spin systems for quantum computation