Implementing fault-tolerant non-Clifford gates using the [[8,3,2]] color
code
- URL: http://arxiv.org/abs/2309.08663v1
- Date: Fri, 15 Sep 2023 18:00:02 GMT
- Title: Implementing fault-tolerant non-Clifford gates using the [[8,3,2]] color
code
- Authors: Daniel Honciuc Menendez, Annie Ray, Michael Vasmer
- Abstract summary: We observe improved performance for encoded circuits implementing non-Clifford gates.
Our results illustrate the potential of using codes with quantum gates to implement non-trivial algorithms.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Quantum computers promise to solve problems that are intractable for
classical computers, but qubits are vulnerable to many sources of error,
limiting the depth of the circuits that can be reliably executed on today's
quantum hardware. Quantum error correction has been proposed as a solution to
this problem, whereby quantum information is protected by encoding it into a
quantum error-correcting code. But protecting quantum information is not
enough, we must also process the information using logic gates that are robust
to faults that occur during their execution. One method for processing
information fault-tolerantly is to use quantum error-correcting codes that have
logical gates with a tensor product structure (transversal gates), making them
naturally fault-tolerant. Here, we test the performance of a code with such
transversal gates, the [[8,3,2]] color code, using trapped-ion and
superconducting hardware. We observe improved performance (compared to no
encoding) for encoded circuits implementing non-Clifford gates, a class of
gates that are essential for achieving universal quantum computing. In
particular, we find improved performance for an encoded circuit implementing
the control-control $Z$ gate, a key gate in Shor's algorithm. Our results
illustrate the potential of using codes with transversal gates to implement
non-trivial algorithms on near-term quantum hardware.
Related papers
- Transversal CNOT gate with multi-cycle error correction [1.7359033750147501]
A scalable and programmable quantum computer holds the potential to solve computationally intensive tasks that computers cannot accomplish within a reasonable time frame, achieving quantum advantage.
The vulnerability of the current generation of quantum processors to errors poses a significant challenge towards executing complex and deep quantum circuits required for practical problems.
Our work establishes the feasibility of employing logical CNOT gates alongside error detection on a superconductor-based processor using current generation quantum hardware.
arXiv Detail & Related papers (2024-06-18T04:50:15Z) - Quantum Compiling with Reinforcement Learning on a Superconducting Processor [55.135709564322624]
We develop a reinforcement learning-based quantum compiler for a superconducting processor.
We demonstrate its capability of discovering novel and hardware-amenable circuits with short lengths.
Our study exemplifies the codesign of the software with hardware for efficient quantum compilation.
arXiv Detail & Related papers (2024-06-18T01:49:48Z) - Tailoring Fault-Tolerance to Quantum Algorithms [3.836669717540222]
We develop a solve-and-stitch algorithm to synthesize physical realizations of Clifford Trotter circuits.
We achieve fault-tolerance for these circuits using flag gadgets, which add minimal overhead.
arXiv Detail & Related papers (2024-04-18T07:15:15Z) - Experimental fault-tolerant code switching [1.9088985324817254]
We present the first experimental implementation of fault-tolerant code switching between two codes.
We construct logical circuits and prepare 12 different logical states which are not accessible in a fault-tolerant way within a single code.
Our results experimentally open up a new route towards deterministic control over logical qubits with low auxiliary qubit overhead.
arXiv Detail & Related papers (2024-03-20T16:40:57Z) - Quantum process tomography of continuous-variable gates using coherent
states [49.299443295581064]
We demonstrate the use of coherent-state quantum process tomography (csQPT) for a bosonic-mode superconducting circuit.
We show results for this method by characterizing a logical quantum gate constructed using displacement and SNAP operations on an encoded qubit.
arXiv Detail & Related papers (2023-03-02T18:08:08Z) - Deep Quantum Error Correction [73.54643419792453]
Quantum error correction codes (QECC) are a key component for realizing the potential of quantum computing.
In this work, we efficiently train novel emphend-to-end deep quantum error decoders.
The proposed method demonstrates the power of neural decoders for QECC by achieving state-of-the-art accuracy.
arXiv Detail & Related papers (2023-01-27T08:16:26Z) - Transversal Injection: A method for direct encoding of ancilla states
for non-Clifford gates using stabiliser codes [55.90903601048249]
We introduce a protocol to potentially reduce this overhead for non-Clifford gates.
Preliminary results hint at high quality fidelities at larger distances.
arXiv Detail & Related papers (2022-11-18T06:03:10Z) - Fault-tolerant circuit synthesis for universal fault-tolerant quantum
computing [0.0]
We present a quantum circuit synthesis algorithm for implementing universal fault-tolerant quantum computing based on geometricd codes.
We show how to synthesize the set of universal fault-tolerant protocols for $[[7,1,3]]$ Steane code and the syndrome measurement protocol of $[[23, 1, 7]]$ Golay code.
arXiv Detail & Related papers (2022-06-06T15:43:36Z) - Quantum Carry Lookahead Adders for NISQ and Quantum Image Processing [0.966840768820136]
Quantum circuits based on fault-tolerant gates and error-correcting codes should be used as they tolerant environmental noise.
Current machines called Noisy Intermediate Scale Quantum (NISQ) machines cannot support the overhead associated with faulttolerant design.
The risk for noise errors and decoherence increase as the number of gate layers (or depth) in the circuit increases.
arXiv Detail & Related papers (2021-06-09T01:02:39Z) - Hardware-Efficient, Fault-Tolerant Quantum Computation with Rydberg
Atoms [55.41644538483948]
We provide the first complete characterization of sources of error in a neutral-atom quantum computer.
We develop a novel and distinctly efficient method to address the most important errors associated with the decay of atomic qubits to states outside of the computational subspace.
Our protocols can be implemented in the near-term using state-of-the-art neutral atom platforms with qubits encoded in both alkali and alkaline-earth atoms.
arXiv Detail & Related papers (2021-05-27T23:29:53Z) - Fault-tolerant Coding for Quantum Communication [71.206200318454]
encode and decode circuits to reliably send messages over many uses of a noisy channel.
For every quantum channel $T$ and every $eps>0$ there exists a threshold $p(epsilon,T)$ for the gate error probability below which rates larger than $C-epsilon$ are fault-tolerantly achievable.
Our results are relevant in communication over large distances, and also on-chip, where distant parts of a quantum computer might need to communicate under higher levels of noise.
arXiv Detail & Related papers (2020-09-15T15:10:50Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.