Unitary Dilation Strategy Towards Efficient and Exact Simulation of Non-Unitary Quantum Evolutions
Year: 2025
Type: preprint
Abstract: Simulating quantum systems with their environments often requires non-unitary operations, and mapping these to quantum devices often involves expensive dilations or prohibitive measurement costs to achieve desired precisions. Building on prior work with a finite-differences strategy, we introduce an efficient and exact single-ancilla unitary decomposition technique that addresses these challenges. Our approach is based on Lagrange-Sylvester interpolation, akin to analytical differentiation techniques for functional interpolation. As a result, we can exactly express any arbitrary non-unitary operator with no finite approximation error using an easily computable decomposition. This can lead to several orders of magnitude reduction in the measurement cost, which is highly desirable for practical quantum computations of open systems.
Source: arXiv (Cornell University)
Institutions: University of California, Los Angeles, University of Chicago
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Awards: U.S.-Ireland R&D Partnership: Collaborative Research: CNS Core: Medium: A unified framework for the emulation of classical and quantum physical layer networks, RAISE-QAC-QSA: Open Quantum Systems on Noisy Intermediate-Scale Quantum Devices, CAREER: First Principles Design of Error-Corrected Solid-State Quantum Repeaters, G518131803, G6671297155
OpenAlex ID: W4407092829