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State preparation is a necessary component of many quantum algorithms. In this work, we combine a method for efficiently representing smooth differentiable probability distributions using matrix product states with recently discovered…

Quantum Physics · Physics 2024-02-19 Jason Iaconis , Sonika Johri , Elton Yechao Zhu

The development of quantum computing systems for large scale algorithms requires targeted error rates unachievable through hardware advancements alone. Quantum Error Correction (QEC) allows us to use systems with a large number of physical…

The development of a continuous-variable photonic quantum computer depends on the reliable preparation of high-quality Gottesman-Kitaev-Preskill states. The most promising GKP preparation scheme is the cat breeding protocol, which can…

Quantum Physics · Physics 2025-08-11 Olga Solodovnikova , Ulrik L. Andersen , Jonas S. Neergaard-Nielsen

We present a protocol for growing graph states, the resource for one-way quantum computing, when the available entanglement mechanism is highly imperfect. The distillation protocol is frugal in its use of ancilla qubits, requiring only a…

Quantum Physics · Physics 2009-06-09 Earl T. Campbell

Magic state distillation is one of the leading candidates for implementing universal fault-tolerant logical gates. However, the distillation circuits themselves are not fault-tolerant, so there is additional cost to first implement encoded…

Quantum Physics · Physics 2019-05-22 Christopher Chamberland , Andrew W. Cross

In continuous-variable systems, non-Gaussian resources are essential for achieving universal quantum computation that lies beyond classical simulation. Among the candidate states, the cubic phase state stands out as the simplest form of…

Quantum Physics · Physics 2025-09-22 Boxuan Jing , Feng-Xiao Sun , Qiongyi He

Magic states are essential yet resource-intensive components for realizing universal fault-tolerant quantum computation. Preparing magic states within emerging quantum low-density parity-check (qLDPC) codes poses additional challenges, due…

Quantum Physics · Physics 2025-05-13 Guo Zhang , Yuanye Zhu , Xiao Yuan , Ying Li

Consumption of magic states promotes the stabilizer model of computation to universal quantum computation. Here, we propose three different classical algorithms for simulating such universal quantum circuits, and characterize them by…

Quantum Physics · Physics 2021-03-23 James R. Seddon , Bartosz Regula , Hakop Pashayan , Yingkai Ouyang , Earl T. Campbell

Practical quantum computing will require error rates that are well below what is achievable with physical qubits. Quantum error correction offers a path to algorithmically-relevant error rates by encoding logical qubits within many physical…

Quantum Physics · Physics 2025-04-08 Rajeev Acharya , Igor Aleiner , Richard Allen , Trond I. Andersen , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Juan Atalaya , Ryan Babbush , Dave Bacon , Joseph C. Bardin , Joao Basso , Andreas Bengtsson , Sergio Boixo , Gina Bortoli , Alexandre Bourassa , Jenna Bovaird , Leon Brill , Michael Broughton , Bob B. Buckley , David A. Buell , Tim Burger , Brian Burkett , Nicholas Bushnell , Yu Chen , Zijun Chen , Ben Chiaro , Josh Cogan , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Ben Curtin , Dripto M. Debroy , Alexander Del Toro Barba , Sean Demura , Andrew Dunsworth , Daniel Eppens , Catherine Erickson , Lara Faoro , Edward Farhi , Reza Fatemi , Leslie Flores Burgos , Ebrahim Forati , Austin G. Fowler , Brooks Foxen , William Giang , Craig Gidney , Dar Gilboa , Marissa Giustina , Alejandro Grajales Dau , Jonathan A. Gross , Steve Habegger , Michael C. Hamilton , Matthew P. Harrigan , Sean D. Harrington , Oscar Higgott , Jeremy Hilton , Markus Hoffmann , Sabrina Hong , Trent Huang , Ashley Huff , William J. Huggins , Lev B. Ioffe , Sergei V. Isakov , Justin Iveland , Evan Jeffrey , Zhang Jiang , Cody Jones , Pavol Juhas , Dvir Kafri , Kostyantyn Kechedzhi , Julian Kelly , Tanuj Khattar , Mostafa Khezri , Mária Kieferová , Seon Kim , Alexei Kitaev , Paul V. Klimov , Andrey R. Klots , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , David Landhuis , Pavel Laptev , Kim-Ming Lau , Lily Laws , Joonho Lee , Kenny Lee , Brian J. Lester , Alexander Lill , Wayne Liu , Aditya Locharla , Erik Lucero , Fionn D. Malone , Jeffrey Marshall , Orion Martin , Jarrod R. McClean , Trevor Mccourt , Matt McEwen , Anthony Megrant , Bernardo Meurer Costa , Xiao Mi , Kevin C. Miao , Masoud Mohseni , Shirin Montazeri , Alexis Morvan , Emily Mount , Wojciech Mruczkiewicz , Ofer Naaman , Matthew Neeley , Charles Neill , Ani Nersisyan , Hartmut Neven , Michael Newman , Jiun How Ng , Anthony Nguyen , Murray Nguyen , Murphy Yuezhen Niu , Thomas E. O'Brien , Alex Opremcak , John Platt , Andre Petukhov , Rebecca Potter , Leonid P. Pryadko , Chris Quintana , Pedram Roushan , Nicholas C. Rubin , Negar Saei , Daniel Sank , Kannan Sankaragomathi , Kevin J. Satzinger , Henry F. Schurkus , Christopher Schuster , Michael J. Shearn , Aaron Shorter , Vladimir Shvarts , Jindra Skruzny , Vadim Smelyanskiy , W. Clarke Smith , George Sterling , Doug Strain , Marco Szalay , Alfredo Torres , Guifre Vidal , Benjamin Villalonga , Catherine Vollgraff Heidweiller , Theodore White , Cheng Xing , Z. Jamie Yao , Ping Yeh , Juhwan Yoo , Grayson Young , Adam Zalcman , Yaxing Zhang , Ningfeng Zhu

The realization of quantum error correction is an essential ingredient for reaching the full potential of fault-tolerant universal quantum computation. Using a range of different schemes, logical qubits can be redundantly encoded in a set…

Verification of quantum computations is crucial as experiments advance toward fault-tolerant quantum computing. Yet, no efficient protocol exists for certifying states generated in the Magic-State Injection model -- the foundation of…

Quantum Physics · Physics 2025-11-11 Sami Abdul Sater , Maxime Garnier , Thierry Martinez , Harold Ollivier , Ulysse Chabaud

We study the problem of finding a (pure) product state with optimal fidelity to an unknown $n$-qubit quantum state $\rho$, given copies of $\rho$. This is a basic instance of a fundamental question in quantum learning: is it possible to…

The initialization of quantum states or Quantum State Preparation (QSP) is a basic subroutine in quantum algorithms. In the worst case, general QSP algorithms are expensive due to the application of multi-controlled gates required to build…

We estimate the resources required in the fusion-based quantum computing scheme to simulate electrolyte molecules in Li-ion batteries on a fault-tolerant, photonic quantum computer. We focus on the molecules that can provide practical…

Quantum Physics · Physics 2023-05-09 Isaac H. Kim , Eunseok Lee , Ye-Hua Liu , Sam Pallister , William Pol , Sam Roberts

Fault-tolerant quantum computation can be achieved by creating constant-sized, entangled resource states and performing entangling measurements on subsets of their qubits. Linear optical quantum computers can be designed based on this…

Quantum Physics · Physics 2026-02-03 Brendan Pankovich , Alex Neville , Angus Kan , Srikrishna Omkar , Kwok Ho Wan , Kamil Brádler

Quantum state preparation, a crucial subroutine in quantum computing, involves generating a target quantum state from initialized qubits. Arbitrary state preparation algorithms can be broadly categorized into arithmetic decomposition (AD)…

Magic states are the resource that allows quantum computers to attain an advantage over classical computers. This resource consists in the deviation from a property called stabilizerness which in turn implies that stabilizer circuits can be…

Quantum Physics · Physics 2022-12-26 Salvatore F. E. Oliviero , Lorenzo Leone , Alioscia Hamma , Seth Lloyd

With the successful demonstration of transversal CNOTs in many recent experiments, it is the right moment to examine its implications on one of the most critical parts of fault-tolerant computation -- magic state preparation. Using an…

Quantum Physics · Physics 2025-10-30 Nicholas Fazio , Mark Webster , Zhenyu Cai

We investigate the implementation of photonic cluster state generation protocols using quantum metasurfaces comprising sub-wavelength atomic arrays which enables quantum-controlled reflectivity. These cluster states are generated using…

Quantum Physics · Physics 2025-11-07 Yehonatan Levin , Uri Israeli , Rivka Bekenstein

Quantum computing becomes viable when a quantum state can be preserved from environmentally-induced error. If quantum bits (qubits) are sufficiently reliable, errors are sparse and quantum error correction (QEC) is capable of identifying…

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