Preparation Circuits for Matrix Product States by Classical Variational Disentanglement

Autor(en)

Refik Mansuroglu, Norbert Schuch

Abstrakt

We study the classical compilation of quantum circuits for the preparation of matrix product states (MPS), which are quantum states of low entanglement with an efficient classical description. Our algorithm represents a near-term alternative to previous sequential approaches by reverse application of a disentangler, which can be found by minimizing bipartite entanglement measures after the application of a layer of parameterized disentangling gates. Since a successful disentangler is expected to decrease the bond dimension on average, such a layer-by-layer optimization remains classically efficient even for deep circuits. Additionally, as the Schmidt coefficients of all bonds are locally accessible through the canonical Γ-Λ form of an MPS, the optimization algorithm can be heavily parallelized. We discuss guarantees and limitations to trainability and show numerical results for ground states of one-dimensional, local Hamiltonians as well as artificially spread out entanglement among multiple qubits using error correcting codes.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Seiten

1-15

DOI

https://doi.org/10.48550/arXiv.2504.21298

Publikationsdatum

04-2025

ÖFOS 2012

103025 Quantenmechanik, 103036 Theoretische Physik, 101028 Mathematische Modellierung

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/d2459d49-7d2e-4f50-a564-9235f935631e