Results 21 to 30 of about 434,851 (98)
Quantum error correction with higher Gottesman-Kitaev-Preskill codes: minimal measurements and linear optics [PDF]
, 2021 We propose two schemes to obtain Gottesman-Kitaev-Preskill (GKP) error syndromes by means of linear optical operations, homodyne measurements and GKP ancillae. This includes showing that for a concatenation of GKP codes with a $[n,k,d]$ stabilizer code only $2n$ measurements are needed in order to obtain the complete syndrome information, significantly
arxiv +1 more source
Critical Schrödinger Cat Qubit
PRX Quantum, 2023 Encoding quantum information onto bosonic systems is a promising route to quantum error correction. In a cat code, this encoding relies on the confinement of the dynamics of the system onto the two-dimensional manifold spanned by Schrödinger cats of ...
Luca Gravina +2 more
doaj +1 more source
Graph Concatenation for Quantum Codes [PDF]
Journal of Mathematical Physics, vol. 52, no. 2, February 2011,
022201, 2009 Graphs are closely related to quantum error-correcting codes: every stabilizer code is locally equivalent to a graph code, and every codeword stabilized code can be described by a graph and a classical code. For the construction of good quantum codes of relatively large block length, concatenated quantum codes and their generalizations play an ...
arxiv +1 more source
Fault-tolerant quantum error correction using error weight parities [PDF]
Phys. Rev. A 104, 042410 (2021), 2020 In quantum error correction using imperfect primitives, errors of high weight arising from a few faults are major concerns since they might not be correctable by the quantum error correcting code. Fortunately, some errors of different weights are logically equivalent and the same correction procedure is applicable to all equivalent errors, thus ...
arxiv +1 more source
Bosonic Pauli+: Efficient Simulation of Concatenated Gottesman-Kitaev-Preskill Codes [PDF]
QuantumA promising route towards fault-tolerant quantum error correction is the concatenation of a Gottesman-Kitaev-Preskill (GKP) code with a qubit code. Development of such concatenated codes requires simulation tools which realistically model noise, while ...
Florian Hopfmueller +4 more
doaj +1 more source
3D EXIT Charts for Analyzing the 5G 3GPP New Radio LDPC Decoder
IEEE Access, 2020 Low Density Parity Check (LDPC) codes have been selected to provide channel coding for data in the next generation of wireless communication standard referred to in practice as the 3GPP New Radio (NR).
Shuai Shao +3 more
doaj +1 more source
Concatenated Codes for Amplitude Damping [PDF]
, 2016 We discuss a method to construct quantum codes correcting amplitude damping errors via code concatenation. The inner codes are chosen as asymmetric Calderbank-Shor-Steane (CSS) codes. By concatenating with outer codes correcting symmetric errors, many new codes with good parameters are found, which are better than the amplitude damping codes obtained ...
arxiv +1 more source
Toward fault-tolerant quantum computation without concatenation [PDF]
Phys.Rev.A63:052314,2001, 1999 It has been known that quantum error correction via concatenated codes can be done with exponentially small failure rate if the error rate for physical qubits is below a certain accuracy threshold. Other, unconcatenated codes with their own attractive features-improved accuracy threshold, local operations-have also been studied.
arxiv +1 more source
A New List Decoding Algorithm for Short-Length TBCCs With CRC
IEEE Access, 2018 In this paper, a new list decoding algorithm for tail-biting convolutional codes (TBCCs) with a cyclic redundancy check (CRC) is proposed, where the CRC is considered as a concatenated outer code.
Jae-Won Kim +3 more
doaj +1 more source
Experimental Implementation of a Concatenated Quantum Error-Correcting Code [PDF]
, 2004 Concatenated coding provides a general strategy to achieve the desired level of noise protection in quantum information storage and transmission. We report the implementation of a concatenated quantum error-correcting code able to correct against phase errors with a strong correlated component.
arxiv +1 more source