Fault-tolerant quantum error detection.
Norbert M. Linke,Mauricio Gutierrez,K. A. Landsman,Caroline Figgatt,Shantanu Debnath,Kenneth R. Brown,Christopher Monroe +6 more
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TLDR
In this paper, the authors show the encoding and syndrome measurement of a fault-tolerant logical qubit via an error detection protocol on four physical qubits, represented by trapped atomic ions.Abstract:
Quantum computers will eventually reach a size at which quantum error correction becomes imperative. Quantum information can be protected from qubit imperfections and flawed control operations by encoding a single logical qubit in multiple physical qubits. This redundancy allows the extraction of error syndromes and the subsequent detection or correction of errors without destroying the logical state itself through direct measurement. We show the encoding and syndrome measurement of a fault-tolerantly prepared logical qubit via an error detection protocol on four physical qubits, represented by trapped atomic ions. This demonstrates the robustness of a logical qubit to imperfections in the very operations used to encode it. The advantage persists in the face of large added error rates and experimental calibration errors.read more
Citations
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Trapped-ion quantum computing: Progress and challenges
TL;DR: In this article, the authors review the state of the field of trapped ion quantum computing and discuss what is being done, and what may be required, to increase the scale of trapped ions quantum computers while mitigating decoherence and control errors.
Journal ArticleDOI
Quantum Chemistry Calculations on a Trapped-Ion Quantum Simulator
Cornelius Hempel,Cornelius Hempel,Christine Maier,Christine Maier,Jonathan Romero,Jarrod R. McClean,Thomas Monz,Heng Shen,Heng Shen,Petar Jurcevic,Petar Jurcevic,B. P. Lanyon,B. P. Lanyon,Peter J. Love,Ryan Babbush,Alán Aspuru-Guzik,Rainer Blatt,Rainer Blatt,Christian F. Roos,Christian F. Roos +19 more
TL;DR: In this article, a trapped-ion implementation of one such hybrid algorithm is used to solve a quantum chemistry problem, which is a promising approach for near-term practical applications of quantum computers.
Journal ArticleDOI
Trapped-Ion Quantum Computing: Progress and Challenges
TL;DR: The state of the field is reviewed, covering the basics of how trapped ions are used for QC and their strengths and limitations as qubits and the outlook for trapped-ion QC is explored.
Journal ArticleDOI
Efficient learning of quantum noise
TL;DR: In this article, the authors describe a protocol for the reliable, efficient and precise characterization of quantum noise in an architecture consisting of 14 superconducting qubits, and report its experimental implementation on a 14-qubit quantum architecture.
Journal ArticleDOI
Programming languages and compiler design for realistic quantum hardware
TL;DR: The challenge is to find abstractions that expose key details while hiding enough complexity in quantum toolflows to bridge the gap between hardware size and reliability requirements of quantum computing algorithms and physical machines foreseen within the next ten years.
References
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Journal ArticleDOI
Scheme for reducing decoherence in quantum computer memory
TL;DR: In the mid-1990s, theorists devised methods to preserve the integrity of quantum bits\char22{}techniques that may become the key to practical quantum computing on a large scale.
Book
Quantum Computation and Quantum Information: 10th Anniversary Edition
TL;DR: Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering.
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Good quantum error-correcting codes exist
A. R. Calderbank,Peter W. Shor +1 more
TL;DR: The techniques investigated in this paper can be extended so as to reduce the accuracy required for factorization of numbers large enough to be difficult on conventional computers appears to be closer to one part in billions.
Journal ArticleDOI
Multiple particle interference and quantum error correction
TL;DR: In this article, the concept of multiple particle interference is discussed, using insights provided by the classical theory of error correcting codes, leading to a discussion of error correction in a quantum communication channel or a quantum computer.
Journal ArticleDOI
Quantum computing with realistically noisy devices
TL;DR: This work reports a simple architecture for fault-tolerant quantum computing, providing evidence that accurate quantum computing is possible for EPGs as high as three per cent, and shows that non-trivial quantum computations at EPG’s of as low as one per cent could be implemented.
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