Results 51 to 60 of about 710,750 (199)
Flag fault-tolerant error correction with arbitrary distance codes [PDF]
In this paper we introduce a general fault-tolerant quantum error correction protocol using flag circuits for measuring stabilizers of arbitrary distance codes. In addition to extending flag error correction beyond distance-three codes for the first time,
Christopher Chamberland+1 more
doaj +1 more source
Quantum error avoiding codes versus quantum error correcting codes [PDF]
A general theory of quantum error avoiding codes is established, and new light is shed on the relation between quantum error avoiding and correcting codes. Quantum error avoiding codes are found to be a special type of highly degenerate quantum error correcting codes. A combination of the ideas of correcting and avoiding quantum errors may yield better
arxiv +1 more source
Experimental Quantum Error Correction [PDF]
Quantum error correction is required to compensate for the fragility of the state of a quantum computer. We report the first experimental implementations of quantum error correction and confirm the expected state stabilization. In NMR computing, however, a net improvement in the signal-to-noise would require very high polarization.
Werner E. Maas+7 more
openaire +3 more sources
On the Use of Shor States for the [7,1,3] Quantum Error Correcting Code [PDF]
We explore the effect of Shor state construction methods on logical state encoding and quantum error correction for the [[7,1,3]] Calderbank-Shor-Steane quantum error correction code in a nonequiprobable error environment. We determine the optimum number of verification steps to be used in Shor state construction and whether Shor states without ...
arxiv +1 more source
Stabilizer Formalism for Operator Algebra Quantum Error Correction [PDF]
We introduce a stabilizer formalism for the general quantum error correction framework called operator algebra quantum error correction (OAQEC), which generalizes Gottesman's formulation for traditional quantum error correcting codes (QEC) and Poulin's ...
Guillaume Dauphinais+2 more
doaj +1 more source
All-optical cat-code quantum error correction
The cat code is a promising encoding scheme for bosonic quantum error correction as it allows for correction against losses—the dominant error mechanism in most bosonic systems.
Jacob Hastrup, Ulrik Lund Andersen
doaj +1 more source
Comparing Shor and Steane Error Correction Using the Bacon-Shor Code [PDF]
Quantum states can quickly decohere through interaction with the environment. Quantum error correction is a method for preserving coherence through active feedback. Quantum error correction encodes the quantum information into a logical state with a high-degree of symmetry.
arxiv
Quantum Error Correction For Dummies
In the current Noisy Intermediate Scale Quantum (NISQ) era of quantum computing, qubit technologies are prone to imperfections, giving rise to various errors such as gate errors, decoherence/dephasing, measurement errors, leakage, and crosstalk. These errors present challenges in achieving error-free computation within NISQ devices. A proposed solution
Chatterjee, Avimita+2 more
openaire +2 more sources
Autonomous error correction of a single logical qubit using two transmons
Large-scale quantum computers will inevitably need quantum error correction to protect information against decoherence. Traditional error correction typically requires many qubits, along with high-efficiency error syndrome measurement and real-time ...
Ziqian Li+5 more
doaj +1 more source
Quantum error correction with the semion code [PDF]
Abstract We present a full quantum error correcting procedure with the semion code: an off-shell extension of the double-semion model. We construct open-string operators that recover the quantum memory from arbitrary errors and closed-string operators that implement the basic logical operations for information processing. Physically, the
Dauphinais, Guillaume+3 more
openaire +7 more sources