Gaussian Conversion Protocols for Cubic Phase State Generation

2020/07/31 by Yu Zheng, Oliver Hahn, Pascal Stadler +4 · 32 citations
Computer Science · Physics and Astronomy · #Algorithm #Computer science #Gaussian #Phase (matter) #Photorefractive and Nonlinear Optics #Physics #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum mechanics #State (computer science) #quant-ph

paper · pdf · doi:10.1103/prxquantum.2.010327

published in PRX Quantum 2(1) (American Physical Society)

openalex publication_date 2021/02/19 · openalex created_date 2021/03/01 · arxiv created 2021/03/15 · arxiv updated 2021/03/16 · openalex updated_date 2026/08/05

Abstract

Universal quantum computing with continuous variables requires non-Gaussian resources, in addition to a Gaussian set of operations. A known resource enabling universal quantum computation is the cubic phase state, a non-Gaussian state whose experimental implementation has so far remained elusive. In this paper, we introduce two Gaussian conversion protocols that allow for the conversion of a non-Gaussian state that has been achieved experimentally, namely the trisqueezed state [Chang et al., Phys. Rev. X 10, 011011 (2020)], to a cubic phase state. The first protocol is deterministic and it involves active (inline) squeezing, achieving large fidelities that saturate the bound for deterministic Gaussian protocols. The second protocol is probabilistic and it involves an auxiliary squeezed state, thus removing the necessity of inline squeezing but still maintaining significant success probabilities and fidelities even larger than for the deterministic case. The success of these protocols provides strong evidence for using trisqueezed states as resources for universal quantum computation.

Citations

• Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations
• Gaussian quantum information
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• Ordered Expansions in Boson Amplitude Operators
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Cited by

• Non-Gaussian Quantum States and Where to Find Them
• Nonlinear Phase Gates as Airy Transforms of the Wigner Function