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20202025
most citedHolographic Codes from Hyperinvariant Tensor Networks

20 citations · 89 across the 12 of their papers we have counts for

collaborators

12 papers

quant-ph2025

Universal fault-tolerant logic with heterogeneous holographic codes

Matthew Steinberg, Junyu Fan, Jens Eisert +3

The study of holographic bulk-boundary dualities has led to the construction of novel quantum error correcting codes. Although these codes have shed new light on conceptual aspects…

quant-ph2024★ 8 cited

Near-Term Spin-Qubit Architecture Design via Multipartite Maximally-Entangled States

Nikiforos Paraskevopoulos, Matthew Steinberg, Brennan Undseth +4

The design and benchmarking of quantum computer architectures traditionally rely on practical hardware restrictions, such as gate fidelities, control, and cooling. At the theoretic…

quant-ph2024★ 1 cited

LEGO_HQEC: Automating the Analysis, Construction, and Decoding of Holographic Quantum Codes

Junyu Fan, Matthew Steinberg, Alexander Jahn +3

Quantum error correction (QEC) is a crucial prerequisite for future large-scale quantum computation. Finding and analyzing new QEC codes, along with efficient decoding and fault-to…

quant-ph2024

Biased-Noise Thresholds of Zero-Rate Holographic Codes with Tensor-Network Decoding

Junyu Fan, Matthew Steinberg, Alexander Jahn +2

A crucial insight for practical quantum error correction is that different types of errors, such as single-qubit Pauli operators, typically occur with different probabilities. Find…

quant-ph2024★ 3 cited

Far from Perfect: Quantum Error Correction with (Hyperinvariant) Evenbly Codes

Matthew Steinberg, Junyu Fan, Robert J. Harris +3

We introduce a new class of qubit codes that we call Evenbly codes, building on a previous proposal of hyperinvariant tensor networks. Its tensor network description consists of lo…

quant-ph2024

YAQQ: Yet Another Quantum Quantizer -- Design Space Exploration of Quantum Gate Sets using Novelty Search

Aritra Sarkar, Akash Kundu, Matthew Steinberg +5

In the standard circuit model of quantum computation, the number and quality of the quantum gates composing the circuit influence the runtime and fidelity of the computation. The f…

quant-ph2024★ 14 cited

Quantum Computing and Tensor Networks for Laminate Design: A Novel Approach to Stacking Sequence Retrieval

Arne Wulff, Boyang Chen, Matthew Steinberg +3

As with many tasks in engineering, structural design frequently involves navigating complex and computationally expensive problems. A prime example is the weight optimization of la…

quant-ph2024★ 5 cited

Lightcone Bounds for Quantum Circuit Mapping via Uncomplexity

Matthew Steinberg, Medina Bandic, Sacha Szkudlarek +3

Efficiently mapping quantum circuits onto hardware is an integral part of the quantum compilation process, wherein a circuit is modified in accordance with the stringent architectu…

quant-ph2023★ 6 cited

Low-Depth Flag-Style Syndrome Extraction for Small Quantum Error-Correction Codes

Dhruv Bhatnagar, Matthew Steinberg, David Elkouss +2

Flag-style fault-tolerance has become a linchpin in the realization of small fault-tolerant quantum-error correction experiments. The flag protocol's utility hinges on low qubit ov…

quant-ph2023★ 20 cited

Holographic Codes from Hyperinvariant Tensor Networks

Matthew Steinberg, Sebastian Feld, Alexander Jahn

Holographic quantum-error correcting codes are models of bulk/boundary dualities such as the anti-de Sitter/conformal field theory (AdS/CFT) correspondence, where a higher-dimensio…

quant-ph2021★ 18 cited

Topological-Graph Dependencies and Scaling Properties of a Heuristic Qubit-Assignment Algorithm

Matthew Steinberg, Sebastian Feld, Carmen G. Almudever +2

The qubit-mapping problem aims to assign and route qubits of a quantum circuit onto a NISQ device in an optimized fashion, with respect to some cost function. Finding an optimal so…

quant-ph2020★ 14 cited

Conformal Properties of Hyperinvariant Tensor Networks

Matthew Steinberg, Javier Prior

Hyperinvariant tensor networks (hyMERA) were introduced as a way to combine the successes of perfect tensor networks (HaPPY) and the multiscale entanglement renormalization ansatz…