Demonstration of a bosonic toolbox for universal fault tolerant quantum computing with GKP states
ORAL
Abstract
Fault-tolerant quantum computers will need to combine the ability to perform error correction with gate operations which produce correctable errors[1]. Bosonic codes provide a hardware-efficient option for error correction but also require compatibility between the code and interactions used for gates, to be suited for fault-tolerance. A suitable bosonic code is the GKP code [2,3] which offers compatibility with beam splitter interactions which have a simple physical form and preserve the grid structure of the code. We present on using two motional modes of a trapped ion and a beam splitter to generate an entangled state of GKP qubits by interfering two qunaught states, which show the periodic features of GKP qubits but cannot encode logical information[4,5]. We generate all Bell states with a mean fidelity of 68% and demonstrate an extension of the entangled state lifetime using quantum error correction [6]. The combination of beam splitters and GKP states is a building block for quantum computing with these codes and offers options for multi-mode codes[7], quantum sensing, and probes of the limits of information in physics[5].
[1] - P. Shor, Fault-tolerant quantum computation, in Proceedings of 37th Conference on Foundations of Computer Science, pp. 56–65, ISSN: 0272-5428.
[2] - D. Gottesman, A. Kitaev, and J. Preskill, Encoding a qubit in an oscillator, Phys. Rev. A 64, 012310 (2001).
[3] – C. Fluhmann, T. L. Nguyen, M. Marinelli, V. Negnevitsky, K. Mehta, and J. P. Home, Encoding a qubit in a trapped-ion mechanical oscillator, Nature 566, 513 (2019).
[4] - B. W. Walshe, B. Q. Baragiola, R. N. Alexander, and N. C. Menicucci, Continuous-variable gate teleportation and bosonic-code error correction, Phys. Rev. A 102, 062411 (2020).
[5] - Z. Wang and L. Jiang, Passive environment-assisted quantum communication with GKP states, Phys. Rev. A 15, 021003 (2025).
[6] - B. De Neeve, T.-L. Nguyen, T. Behrle, and J. P. Home, Error correction of a logical grid state qubit by dissipative pumping, Nat. Phys. 18, 296 (2022)
[7] - B. Royer, S. Singh, and S. Girvin, Encoding Qubits in Multimode Grid States, PRX Quantum 3, 010335 (2022)
[1] - P. Shor, Fault-tolerant quantum computation, in Proceedings of 37th Conference on Foundations of Computer Science, pp. 56–65, ISSN: 0272-5428.
[2] - D. Gottesman, A. Kitaev, and J. Preskill, Encoding a qubit in an oscillator, Phys. Rev. A 64, 012310 (2001).
[3] – C. Fluhmann, T. L. Nguyen, M. Marinelli, V. Negnevitsky, K. Mehta, and J. P. Home, Encoding a qubit in a trapped-ion mechanical oscillator, Nature 566, 513 (2019).
[4] - B. W. Walshe, B. Q. Baragiola, R. N. Alexander, and N. C. Menicucci, Continuous-variable gate teleportation and bosonic-code error correction, Phys. Rev. A 102, 062411 (2020).
[5] - Z. Wang and L. Jiang, Passive environment-assisted quantum communication with GKP states, Phys. Rev. A 15, 021003 (2025).
[6] - B. De Neeve, T.-L. Nguyen, T. Behrle, and J. P. Home, Error correction of a logical grid state qubit by dissipative pumping, Nat. Phys. 18, 296 (2022)
[7] - B. Royer, S. Singh, and S. Girvin, Encoding Qubits in Multimode Grid States, PRX Quantum 3, 010335 (2022)
–
Presenters
-
Jeremy Michael Metzner
- ETH Zurich