Learning t-doped stabilizer states

Author:

Leone Lorenzo12,Oliviero Salvatore F. E.13,Hamma Alioscia45

Affiliation:

1. Physics Department, University of Massachusetts Boston, 02125, USA

2. Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany

3. NEST, Scuola Normale Superiore and Istituto Nanoscienze, Consiglio Nazionale delle Ricerche, Piazza dei Cavalieri 7, IT-56126 Pisa, Italy

4. Dipartimento di Fisica `Ettore Pancini', Università degli Studi di Napoli Federico II, Via Cintia 80126, Napoli, Italy

5. INFN, Sezione di Napoli, Italy

Abstract

In this paper, we present a learning algorithm aimed at learning states obtained from computational basis states by Clifford circuits doped with a finite number t of T-gates. The algorithm learns an exact tomographic description of t-doped stabilizer states in terms of Pauli observables. This is possible because such states are countable and form a discrete set. To tackle the problem, we introduce a novel algebraic framework for t-doped stabilizer states, which extends beyond T-gates and includes doping with any kind of local non-Clifford gate. The algorithm requires resources of complexity poly⁡(n,2t) and exhibits an exponentially small probability of failure.

Funder

ENEA

PNRR MUR

NSF

Publisher

Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bell Sampling from Quantum Circuits;Physical Review Letters;2024-07-08

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