Quantum error correction and universal gate set operation on a binomial bosonic logical qubit

Hu, Lunzhen; Ma, You; Cai, Wenli; Mu, Xiang Dong; Xu, Yihang; Wang, W.; Wu, Yukai; Wang, Hong; Song, Yipu; Zou, Chang‐Ling; Girvin, S. M.; Duan, L.-M.; Sun, Luyan

doi:10.1038/s41567-018-0414-3

Cited by 269 publications

(167 citation statements)

References 52 publications

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“…Therefore, instead of a convex combination of quasiextreme channels as demonstrated, our experimental architecture with ultrafast adaptive control is also suitable for implementing an arbitrary Liouvillian L = ∑ j L j by alternatively and piecewisely simulating its components L j [Supplementary Information]. In addition, although our experimental results show high fidelity of state generation by the simulated quantum channel, further improvement calls for incorporating quantum error correction [31,32] into this scheme.…”

Section: Discussionmentioning

confidence: 97%

“…1(c)] to assist the unitary operations on the system qubit, e.g., implementing a controlled-phase (CZ) gate and As schematically shown in Fig. 1(d), our experimental device consists of a superconducting transmon qubit dispersively coupled to two waveguide cavity resonators [24,32,[37][38][39][40]. One of the cavities (storage cavity) has long photon coherence times T s 1 = 143 µs and T s 2 = 250 µs, and its |0 and |1 Fock states constitute the two bases of a photonic qubit (the system qubit) on which the QCS are performed.…”

Section: A Principle and Systemmentioning

confidence: 99%

“…The repetitive QCS with controllable parameters provides a testbed for studying reservoir engineering [6], quantum Zeno effect [7][8][9]26], quantum thermodynamics [27,28], and quantum metrology [29,30]. Together with the recently demonstrated arbitrary unitary control and quantum error correction [31,32] in cQED architecture, our demonstrated QCS could realize reliable universal control of open quantum system, which is significant for quantum computation [1,25] and simulation [33,34]. lators.…”

Section: Introductionmentioning

confidence: 99%

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Experimental repetitive quantum channel simulation

Cai

et al. 2018

Science Bulletin

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Universal control of quantum systems is a major goal to be achieved for quantum information processing, which demands thorough understanding of fundamental quantum mechanics and promises applications of quantum technologies. So far, most studies concentrate on ideally isolated quantum systems governed by unitary evolutions, while practical quantum systems are open and described by quantum channels due to their inevitable coupling to environment. Here, we experimentally simulate arbitrary quantum channels for an open quantum system, i.e. a single photonic qubit in a superconducting quantum circuit. The arbitrary channel simulation is achieved with minimum resource of only one ancilla qubit and measurement-based adaptive control. By repetitively implementing the quantum channel simulation, we realize an arbitrary Liouvillian for a continuous evolution of an open quantum system for the first time. Our experiment provides not only a testbed for understanding quantum noise and decoherence, but also a powerful tool for full control of practical open quantum systems.arXiv:1807.07694v1 [quant-ph]

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Section: Discussionmentioning

confidence: 97%

Section: A Principle and Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Experimental repetitive quantum channel simulation

Cai

et al. 2018

Science Bulletin

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“…The optimal control algorithm in our unit has been validated against real hardware and used in real experimental environments [16,17].…”

Section: Optimal Control Unitmentioning

confidence: 99%

Optimized Compilation of Aggregated Instructions for Realistic Quantum Computers

Shi

Leung

Gokhale

et al. 2019

Proceedings of the Twenty-Fourth International Conference on Architectural Support for Programming Languages and Operating Syst

101

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Recent developments in engineering and algorithms have made real-world applications in quantum computing possible in the near future. Existing quantum programming languages and compilers use a quantum assembly language composed of 1-and 2-qubit (quantum bit) gates. Quantum compiler frameworks translate this quantum assembly to electric signals (called control pulses) that implement the specified computation on specific physical devices. However, there is a mismatch between the operations defined by the 1-and 2-qubit logical ISA and their underlying physical implementation, so the current practice of directly translating logical instructions into control pulses results in inefficient, high-latency programs. To address this inefficiency, we propose a universal quantum compilation methodology that aggregates multiple logical operations into larger units that manipulate up to 10 qubits at a time. Our methodology then optimizes these aggregates by (1) finding commutative intermediate operations that result in more efficient schedules and (2) creating custom control pulses optimized for the aggregate (instead of individual 1-and 2-qubit operations). Compared to the standard gate-based compilation, the proposed approach realizes a deeper vertical integration of high-level quantum software and low-level, physical quantum hardware. We evaluate our approach on important near-term quantum applications on simulations of superconducting Permission to make digital

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“…However, existing programmable quantum hardware mostly focuses on supporting the data ow. ey cannot well support the control ow because they lack programmable feedback with su cient exibility [19][20][21] (though feedback has been demonstrated with customized hardware in multiple experiments [7,[22][23][24]). e di culty of supporting programmable feedback in the hardware roots in the strict requirements on the electrical signals (e.g., precise parameters and timing) used to control qubits.…”

Section: Comprehensive Abstraction Challengementioning

confidence: 99%

eQASM: An Executable Quantum Instruction Set Architecture

Fu¹,

Riesebos²,

Rol

et al. 2019

2019 IEEE International Symposium on High Performance Computer Architecture (HPCA)

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A widely-used quantum programming paradigm comprises of both the data ow and control ow. Existing quantum hardware cannot well support the control ow, signi cantly limiting the range of quantum so ware executable on the hardware. By analyzing the constraints in the control microarchitecture, we found that existing quantum assembly languages are either too high-level or too restricted to support comprehensive ow control on the hardware. Also, as observed with the quantum microinstruction set MIS [1], the quantum instruction set architecture (QISA) design may su er from limited scalability and exibility because of microarchitectural constraints. It is an open challenge to design a scalable and exible QISA which provides a comprehensive abstraction of the quantum hardware.In this paper, we propose an executable QISA, called eQASM, that can be translated from quantum assembly language (QASM), supports comprehensive quantum program ow control, and is executed on a quantum control microarchitecture. With e cient timing speci cation, single-operation-multiple-qubit execution, and a very-long-instruction-word architecture, eQASM presents better scalability than MIS. e de nition of eQASM focuses on the assembly level to be expressive.antum operations are congured at compile time instead of being de ned at QISA design time. We instantiate eQASM into a 32-bit instruction set targeting a seven-qubit superconducting quantum processor. We validate our design by performing several experiments on a two-qubit quantum processor.

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Quantum error correction and universal gate set operation on a binomial bosonic logical qubit

Cited by 269 publications

References 52 publications

Experimental repetitive quantum channel simulation

Experimental repetitive quantum channel simulation

Optimized Compilation of Aggregated Instructions for Realistic Quantum Computers

eQASM: An Executable Quantum Instruction Set Architecture

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