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20212026
most citedPreparation of matrix product states with log-depth quantum circuits

98 citations · 194 across the 17 of their papers we have counts for

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quant-ph2026

From Bits to Qubits: The Theory and Practice of Quantum Data Encoding

Xiao-Ming Zhang, Arthur G. Rattew, Bujiao Wu +4

Encoding classical data into quantum systems is a foundational step in the execution of nearly all quantum algorithms, and a critical bottleneck in realizing practical quantum adva…

quant-ph2026

Dissipative preparation of injective tensor network states

Drishti Baruah, Georgios Styliaris, J. Ignacio Cirac +1

The preparation of tensor network states is a fundamental prerequisite for a wide range of quantum simulation tasks. While many unitary protocols for preparing these states have be…

quant-ph2026

Structure and Classification of Matrix Product Quantum Channels

Giorgio Stucchi, J. Ignacio Cirac, Rahul Trivedi +1

We develop a framework for Matrix Product Quantum Channels (MPQCs), a one-dimensional tensor-network description of completely positive, trace-preserving maps. We focus on translat…

quant-ph2026

Phases of matrix-product states with symmetries and measurements: Finite nilpotent groups

David Gunn, Georgios Styliaris, Barbara Kraus +1

We study phases of one-dimensional matrix-product states (MPS) when transformations are restricted to symmetric local circuits supplemented with symmetric measurements and feedforw…

quant-ph2026

Quantum Memory and Autonomous Computation in Two Dimensions

Gesa Dünnweber, Georgios Styliaris, Rahul Trivedi

Standard approaches to quantum error correction (QEC) require active maintenance using measurements and classical processing. Passive QEC, by contrast, has so far been established…

quant-ph2025

Quantum Circuits for Matrix-Product Unitaries

Georgios Styliaris, Rahul Trivedi, J. Ignacio Cirac

Matrix-product unitaries (MPUs) are many-body unitary operators that, as a consequence of their tensor-network structure, preserve the entanglement area law in 1D systems. However,…