Universal quantum control over bosonic network

• URL: http://arxiv.org/abs/2509.06560v1
• Date: Mon, 08 Sep 2025 11:20:11 GMT
• Title: Universal quantum control over bosonic network
• Authors: Zhu-yao Jin, Jun Jing,
• Abstract summary: We develop a theory to control an $N$-node bosonic network governed by the time-dependent Hamiltonian.<n>Our work provides a promising avenue toward universal control of any pair of nodes or modes in bosonic networks as well as the whole network.
• Score: 0.42970700836450487
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Perfect transfer of unknown states across distinct nodes is fundamental in the construction of bosonic quantum networks. We here develop a general theory to control an $N$-node bosonic network governed by the time-dependent Hamiltonian, as the universal quantum control theory for continuous-variable systems. In particular, we can activate nonadiabatic passages superposed of initial and target modes by the commutation condition for the Hamiltonian's coefficient matrix in the representation of time-independent ancillary modes, which serves as the necessary and sufficient condition to solve the time-dependent Schr\"odinger equation of the entire network. To exemplify the versatility of our theory on the Heisenberg-picture passages, we perform arbitrary state exchange between two nodes, chiral NOON-state transfer among three bosonic nodes, and chiral Fock-state transfer among three of four bosonic nodes. Our work provides a promising avenue toward universal control of any pair of nodes or modes in bosonic networks as well as the whole network.

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