Quantum teleportation of physical qubits into logical code spaces

Luo, Yi-Han; Chen, Ming-Cheng; Erhard, Manuel; Zhong, Han-Sen; Wu, Dajun; Tang, Haoyang; Zhao, Qi; Wang, Xiaohao; Fujii, Keisuke; Li, Li; Liu, Nai-Le; Nemoto, Kae; Munro, William J.; Lu, Chao‐Yang; Zeilinger, Anton; Pan, Jian-Wei

doi:10.1073/pnas.2026250118

Cited by 28 publications

(17 citation statements)

References 43 publications

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“…As the device quality and system size continues to improve, there is increasing interest in studying QEC codes and real-time decoding. Several demonstrations of repetition codes, Bacon-Shor code have been successful [6,17,18,27,48,51,65,68,70,84,86,87,89]. While these experiments represent a significant milestone in QEC, unlike surface codes, these codes can only correct either phase-flip or bit-flip errors but not both.…”

Section: Motivation: Near-term Qecmentioning

confidence: 99%

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LILLIPUT: a lightweight low-latency lookup-table decoder for near-term Quantum error correction

Das

Locharla

Jones

2022

Proceedings of the 27th ACM International Conference on Architectural Support for Programming Languages and Operating Systems

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The error rates of quantum devices are orders of magnitude higher than what is needed to run most quantum applications. To close this gap, Quantum Error Correction (QEC) encodes logical qubits and distributes information using several physical qubits. By periodically executing a syndrome extraction circuit on the logical qubits, information about errors (called syndrome) is extracted while running programs. A decoder uses these syndromes to identify and correct errors in real time, which is necessary to prevent accumulation of errors. Unfortunately, software decoders are slow and hardware decoders are fast but less accurate. Thus, almost all QEC studies so far have relied on offline decoding.To enable real-time decoding in near-term QEC, we propose LILLIPUT-a Lightweight Low Latency Look-Up Table decoder. LILLIPUT consists of two parts-First, it translates syndromes into error detection events that index into a Look-Up Table (LUT) whose entry provides the error information in real-time. Second, it programs the LUTs with error assignments for all possible error events by running a software decoder offline. LILLIPUT tolerates an error on any operation in the quantum hardware, including gates and measurements, and the number of tolerated errors grows with the size of the code. LILLIPUT utilizes less than 7% logic on off-the-shelf FPGAs enabling practical adoption, as FPGAs are already used to design the control and readout circuits in existing systems. LIL-LIPUT incurs a latency of a few nanoseconds and enables real-time decoding. We also propose Compressed LUTs (CLUTs) to reduce the memory required by LILLIPUT. By exploiting the fact that not all error events are equally likely and only storing data for the most probable error events, CLUTs reduce the memory needed by up-to 107x (from 148 MB to 1.38 MB) without degrading the accuracy. CCS CONCEPTS• Hardware → Quantum technologies; • Computer systems organization → Quantum computing.

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Section: Motivation: Near-term Qecmentioning

confidence: 99%

“…In recent years, several preliminary QEC experiments involving repetition codes and Bacon-Shor codes have been successfully demonstrated [6,17,18,27,48,51,65,68,70,84,86,87,89]. However, reaching low logical error rates requires implementation of more Figure 1: (a) In QEC, a logical qubit is encoded using a set of data and parity qubits.…”

Section: Introductionmentioning

confidence: 99%

LILLIPUT: a lightweight low-latency lookup-table decoder for near-term Quantum error correction

Das

Locharla

Jones

2022

Proceedings of the 27th ACM International Conference on Architectural Support for Programming Languages and Operating Systems

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“…As pointed out by U.S. Los Angeles based Six Industrial Revolution Forum (SIR Forum [20]), quantum computer based quantum computing will be the core technology in the future industrial revolution. It will provide the required super-computing power for the quickly developing information communication system, big data service, digital economy, blockchain, and even the future Internet of quantum blockchains (see, e.g., Arule et al [1], Dai [6,7], Deutsch [11], Feynman [12], Harrow and Montannaro [10], Luo et al [16], Nielsen and Chuang [18], Rajan and Visser [19], Zhong et al [22]).…”

Section: Introductionmentioning

confidence: 99%

n-Qubit Operations on Sphere and Queueing Scaling Limits for Programmable Quantum Computer

Dai

2021

Preprint

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We study n-qubit operation rules on (n+1)-sphere with the target to help developing a (photon or other technique) based programmable quantum computer. In the meanwhile, we derive the scaling limits (called reflecting Gaussian random fields on a (n + 1)-sphere) for n-qubit quantum computer based queueing systems under two different heavy traffic regimes. The queueing systems are with multiple classes of users and batch quantum random walks over the (n + 1)-sphere as arrival inputs. In the first regime, the qubit number n is fixed and the scaling is in terms of both time and space. Under this regime, performance modeling during deriving the scaling limit in terms of balancing the arrival and service rates under first-in first-out and work conserving service policy is conducted. In the second regime, besides the time and space scaling parameters, the qubit number n itself is also considered as a varying scaling parameter with the additional aim to find a suitable number of qubits for the design of a quantum computer. This regime is in contrast to the well-known Halfin-Whitt regime.

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“…In recent decades, a number of quantum cryptography protocols have been successfully realized, including quantum teleportation (QT) [1,2], quantum key distribution (QKD) [3], quantum secret sharing [4][5][6], and quantum coding [7,8]. QKD, which mainly relies on Heisenberg's uncertainty principle, which provide us with an unconditional secure method for private information transmission over an insecure channel.…”

Section: Introductionmentioning

confidence: 99%

Noiseless Attenuation for Continuous-Variable Quantum Key Distribution over Ground-Satellite Uplink

Yin

Wang

et al. 2021

Applied Sciences

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Satellite-based quantum key distribution (QKD) has lately received considerable attention due to its potential to establish a secure global network. Associated with its application is a turbulent atmosphere that sets a notable restriction to the transmission efficiency, which is especially challenging for ground-to-satellite uplink scenarios. Here, we propose a novel noiseless attenuation (NA) scheme involving a zero-photon catalysis operation for source preparation to improve the performance of continuous-variable (CV) QKD over uplink. Numerical analysis shows that the NA-based CV-QKD, under attenuation optimization, outperforms the traditional CV-QKD, which is embodied in extending the allowable zenith angle while improving the effective communication time. Attributing to characteristics of the attenuation optimization, we find that the NA-involved source preparation improves the security bound by relatively reducing the amount of information available to eavesdroppers. Taking the finite-size effect into account, we achieve a tighter bond of security, which is more practical compared with the asymptotic limit.

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Quantum teleportation of physical qubits into logical code spaces

Cited by 28 publications

References 43 publications

LILLIPUT: a lightweight low-latency lookup-table decoder for near-term Quantum error correction

LILLIPUT: a lightweight low-latency lookup-table decoder for near-term Quantum error correction

n-Qubit Operations on Sphere and Queueing Scaling Limits for Programmable Quantum Computer

Noiseless Attenuation for Continuous-Variable Quantum Key Distribution over Ground-Satellite Uplink

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