Automated discovery of autonomous quantum error correction schemes
- URL: http://arxiv.org/abs/2108.02766v1
- Date: Thu, 5 Aug 2021 17:53:40 GMT
- Title: Automated discovery of autonomous quantum error correction schemes
- Authors: Zhaoyou Wang, Taha Rajabzadeh, Nathan Lee, Amir H. Safavi-Naeini
- Abstract summary: We develop and demonstrate a computational approach based on adjoint optimization for discovering autonomous quantum error correcting codes.
We show that varying the Hamiltonian distance in Fock space leads to discovery of different and new error correcting schemes.
We propose a hardware-efficient implementation based on superconducting circuits.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We can encode a qubit in the energy levels of a quantum system. Relaxation
and other dissipation processes lead to decay of the fidelity of this stored
information. Is it possible to preserve the quantum information for a longer
time by introducing additional drives and dissipation? The existence of
autonomous quantum error correcting codes answers this question in the
positive. Nonetheless, discovering these codes for a real physical system,
i.e., finding the encoding and the associated driving fields and bath
couplings, remains a challenge that has required intuition and inspiration to
overcome. In this work, we develop and demonstrate a computational approach
based on adjoint optimization for discovering autonomous quantum error
correcting codes given a description of a physical system. We implement an
optimizer that searches for a logical subspace and control parameters to better
preserve quantum information. We demonstrate our method on a system of a
harmonic oscillator coupled to a lossy qubit, and find that varying the
Hamiltonian distance in Fock space -- a proxy for the control hardware
complexity -- leads to discovery of different and new error correcting schemes.
We discover what we call the $\sqrt{3}$ code, realizable with a Hamiltonian
distance $d=2$, and propose a hardware-efficient implementation based on
superconducting circuits.
Related papers
- Robustness of near-thermal dynamics on digital quantum computers [4.124390946636936]
We show that Trotterized quantum circuits are more robust to both quantum gate errors and Trotter (discretization) errors than is widely assumed.
We use a new theoretical tool -- a statistical ensemble of random product states that approximates a thermal state.
arXiv Detail & Related papers (2024-10-14T17:57:03Z) - Realizing fracton order from long-range quantum entanglement in programmable Rydberg atom arrays [45.19832622389592]
Storing quantum information requires battling quantum decoherence, which results in a loss of information over time.
To achieve error-resistant quantum memory, one would like to store the information in a quantum superposition of degenerate states engineered in such a way that local sources of noise cannot change one state into another.
We show that this platform also allows to detect and correct certain types of errors en route to the goal of true error-resistant quantum memory.
arXiv Detail & Related papers (2024-07-08T12:46:08Z) - Quantum Information Processing with Molecular Nanomagnets: an introduction [49.89725935672549]
We provide an introduction to Quantum Information Processing, focusing on a promising setup for its implementation.
We introduce the basic tools to understand and design quantum algorithms, always referring to their actual realization on a molecular spin architecture.
We present some examples of quantum algorithms proposed and implemented on a molecular spin qudit hardware.
arXiv Detail & Related papers (2024-05-31T16:43:20Z) - Tangling schedules eases hardware connectivity requirements for quantum error correction [3.0040661953201475]
We introduce a method of tangled syndrome extraction circuits, which enables measurement of observables between distant qubits.
We show how to measure the aforementioned irregular non-local stabilisers, without physically modifying the hardware itself.
arXiv Detail & Related papers (2023-07-19T17:21:50Z) - 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) - Automated error correction in superdense coding, with implementation on
superconducting quantum computer [0.28675177318965034]
We present a task-specific error-correction technique that provides a complete protection over a restricted set of quantum states.
Specifically, we give an automated error correction in Superdense Coding algorithms utilizing n-qubit generalized Bell states.
We experimentally realize our automated error correction technique for three different types of superdense coding algorithm on a 7-qubit superconducting IBM quantum computer and also on a 27-qubit quantum simulator in the presence of noise.
arXiv Detail & Related papers (2022-10-27T04:02:13Z) - Canonically consistent quantum master equation [68.8204255655161]
We put forth a new class of quantum master equations that correctly reproduce the state of an open quantum system beyond the infinitesimally weak system-bath coupling limit.
Our method is based on incorporating the knowledge of the reduced steady state into its dynamics.
arXiv Detail & Related papers (2022-05-25T15:22:52Z) - Efficient Bipartite Entanglement Detection Scheme with a Quantum
Adversarial Solver [89.80359585967642]
Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits.
We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
arXiv Detail & Related papers (2022-03-15T09:46:45Z) - 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)
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.