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Noise-Resilient Heisenberg-Limited Quantum Sensing via Indefinite-Causal-Order Error Correction
Hang Xu1, Xiaoyang Deng1, Ze Zheng1
1Shanghai Jiao Tong University, State Key Laboratory of Photonics and Communications, Institute for Quantum Sensing and Information Processing, Shanghai 200240, People's Republic of China.
This study introduces a novel quantum error correction (QEC) protocol using indefinite causal order (ICO) to achieve Heisenberg-limited sensing. This approach overcomes limitations of traditional QEC, enabling real-time error correction in noisy quantum devices.
Area of Science:
- Quantum Information Science
- Quantum Metrology
- Quantum Error Correction
Background:
- Quantum sensing aims for Heisenberg-limited precision, but noise in realistic devices hinders this.
- Traditional quantum error correction (QEC) faces challenges like noise characterization and measurement requirements for quantum sensing.
- Indefinite causal order (ICO) offers a new paradigm for manipulating quantum processes.
Purpose of the Study:
- To develop a quantum error correction (QEC) protocol leveraging indefinite causal order (ICO) for enhanced quantum sensing.
- To overcome the stringent requirements and limitations of traditional QEC in noisy quantum systems.
- To demonstrate a broadly applicable framework for noise-resilient quantum information processing.
Main Methods:
- Introduction of a QEC protocol utilizing indefinite causal order (ICO).
- Coherent placement of auxiliary controls and noisy evolution in an ICO framework.
- Exploitation of noncommutative interference for real-time error detection and correction.
Main Results:
- The ICO-based QEC protocol avoids entanglement encoding and readout, simplifying implementation.
- The protocol demonstrates correctability for parallel noises, outperforming traditional methods in specific regimes.
- Successful demonstration across single-qubit, many-body, and continuous-variable quantum platforms.
- Identification of regimes where error correction can be achieved through unitary control alone, without measurements.
Conclusions:
- Indefinite causal order (ICO) is a powerful resource for metrological quantum error correction (QEC).
- The developed protocol provides a broadly applicable framework for noise-resilient quantum information processing.
- This work opens new avenues for achieving high-precision quantum sensing in realistic noisy environments.
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