activity
20092024
most citedFast Decoders for Topological Quantum Codes

246 citations · 794 across the 12 of their papers we have counts for

collaborators

13 papers

quant-ph2024

Hardware-Efficient Fault Tolerant Quantum Computing with Bosonic Grid States in Superconducting Circuits

Marc-Antoine Lemonde, Dany Lachance-Quirion, Guillaume Duclos-Cianci +5

Quantum computing holds the promise of solving classically intractable problems. Enabling this requires scalable and hardware-efficient quantum processors with vanishing error rate…

quant-ph2022★ 3 cited

Finite-rate sparse quantum codes aplenty

Maxime Tremblay, Guillaume Duclos-Cianci, Stefanos Kourtis

We introduce a methodology for generating random multi-qubit stabilizer codes based on solving a constraint satisfaction problem (CSP) on random bipartite graphs. This framework al…

quant-ph2020★ 25 cited

Resource estimate for quantum many-body ground-state preparation on a quantum computer

Jessica Lemieux, Guillaume Duclos-Cianci, David Sénéchal +1

We estimate the resources required to prepare the ground state of a quantum many-body system on a quantum computer of intermediate size. This estimate is made possible using a comb…

quant-ph2016★ 108 cited

Foliated Quantum Codes

A. Bolt, G. Duclos-Cianci, D. Poulin +1

We show how to construct a large class of quantum error correcting codes, known as CSS codes, from highly entangled cluster states. This becomes a primitive in a protocol that foli…

quant-ph2014★ 44 cited

Reducing the quantum computing overhead with complex gate distillation

Guillaume Duclos-Cianci, David Poulin

In leading fault-tolerant quantum computing schemes, accurate transformation are obtained by a two-stage process. In a first stage, a discrete, universal set of fault-tolerant oper…

quant-ph2014★ 170 cited

Fault-tolerant conversion between the Steane and Reed-Muller quantum codes

Jonas T. Anderson, Guillaume Duclos-Cianci, David Poulin

Steane's 7-qubit quantum error-correcting code admits a set of fault-tolerant gates that generate the Clifford group, which in itself is not universal for quantum computation. The…

quant-ph2013

Fault-Tolerant Renormalization Group Decoder for Abelian Topological Codes

Guillaume Duclos-Cianci, David Poulin

We present a three-dimensional generalization of a renormalization group decoding algorithm for topological codes with Abelian anyonic excitations that we previously introduced for…

quant-ph2013★ 52 cited

Kitaev's Z_d-Codes Threshold Estimates

Guillaume Duclos-Cianci, David Poulin

We study the quantum error correction threshold of Kitaev's toric code over the group Z_d subject to a generalized bit-flip noise. This problem requires novel decoding techniques,…

quant-ph2012★ 52 cited

A State Distillation Protocol to Implement Arbitrary Single-qubit Rotations

Guillaume Duclos-Cianci, Krysta M. Svore

An important task required to build a scalable, fault-tolerant quantum computer is to efficiently represent an arbitrary single-qubit rotation by fault-tolerant quantum operations.…

quant-ph2012

Subsystem surface codes with three-qubit check operators

Sergey Bravyi, Guillaume Duclos-Cianci, David Poulin +1

We propose a simplified version of the Kitaev's surface code in which error correction requires only three-qubit parity measurements for Pauli operators XXX and ZZZ. The new code b…

quant-ph2011★ 94 cited

Universal topological phase of 2D stabilizer codes

H. Bombin, Guillaume Duclos-Cianci, David Poulin

Two topological phases are equivalent if they are connected by a local unitary transformation. In this sense, classifying topological phases amounts to classifying long-range entan…

quant-ph2010

A renormalization group decoding algorithm for topological quantum codes

Guillaume Duclos-Cianci, David Poulin

Topological quantum error-correcting codes are defined by geometrically local checks on a two-dimensional lattice of quantum bits (qubits), making them particularly well suited for…

quant-ph2009★ 246 cited

Fast Decoders for Topological Quantum Codes

Guillaume Duclos-Cianci, David Poulin

We present a family of algorithms, combining real-space renormalization methods and belief propagation, to estimate the free energy of a topologically ordered system in the presenc…