Measurement-based long-range entangling gates in constant depth

E Bäumer, S Woerner - arXiv preprint arXiv:2408.03064, 2024 - arxiv.org
The depth of quantum circuits is a critical factor when running them on state-of-the-art
quantum devices due to their limited coherence times. Reducing circuit depth decreases …

Finite-depth preparation of tensor network states from measurement

R Sahay, R Verresen - arXiv preprint arXiv:2404.17087, 2024 - arxiv.org
Although tensor network states constitute a broad range of exotic quantum states, their
realization is challenging and often requires resources whose depth scales with system size …

Characterizing Matrix-Product States and Projected Entangled-Pair States Preparable via Measurement and Feedback

Y Zhang, S Gopalakrishnan, G Styliaris - PRX Quantum, 2024 - APS
Preparing long-range entangled states poses significant challenges for near-term quantum
devices. It is known that measurement and feedback (MF) can aid this task by allowing the …

Classifying One-Dimensional Quantum States Prepared by a Single Round of Measurements

R Sahay, R Verresen - arXiv preprint arXiv:2404.16753, 2024 - arxiv.org
Measurements and feedback have emerged as a powerful resource for creating quantum
states. However, a detailed understanding is restricted to fixed-point representatives of …

Block encoding of matrix product operators

M Nibbi, CB Mendl - Physical Review A, 2024 - APS
Quantum signal processing combined with quantum eigenvalue transformation has recently
emerged as a unifying framework for several quantum algorithms. In its standard form, it …

Long-range entanglement from spontaneous non-onsite symmetry breaking

Z Zhang, Y Li, TC Lu - arXiv preprint arXiv:2411.05004, 2024 - arxiv.org
We explore the states of matter arising from the spontaneous symmetry breaking (SSB) of
$\mathbb {Z} _2 $ non-onsite symmetries. In one spatial dimension, we construct a …

Characterizing MPS and PEPS Preparable via Measurement and Feedback

Y Zhang, S Gopalakrishnan, G Styliaris - arXiv preprint arXiv:2405.09615, 2024 - arxiv.org
Preparing long-range entangled states poses significant challenges for near-term quantum
devices. It is known that measurement and feedback (MF) can aid this task by allowing the …

Learning Feedback Mechanisms for Measurement-Based Variational Quantum State Preparation

DA Puente, M Rizzi - arXiv preprint arXiv:2411.19914, 2024 - arxiv.org
This work introduces a self-learning protocol that incorporates measurement and feedback
into variational quantum circuits for efficient quantum state preparation. By combining …