Lower Bounds on Stabilizer Rank

The stabilizer rank of a quantum state \(\psi\) is the minimal \(r\) such that \(\left| \psi \right \rangle = \sum_{j=1}^r c_j \left|\varphi_j \right\rangle\) for \(c_j \in \mathbb{C}\) and stabilizer states \(\varphi_j\). The running time of several classical simulation methods for quantum circuits...

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Bibliographic Details

Published in:	arXiv.org
Main Authors:	Peleg, Shir, Shpilka, Amir, Ben Lee Volk
Format:	Paper
Language:	English
Published:	Ithaca Cornell University Library, arXiv.org 10.02.2022
Subjects:	Boolean algebra Boolean functions Complexity theory Lower bounds Mathematical analysis Polynomials Quadratic equations Qubits (quantum computing) Subspaces Tensors
ISSN:	2331-8422
Online Access:	Get full text
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