Non-Clifford gate on optical qubits by nonlinear feedforward

Konno, Shunya; Asavanant, Warit; Fukui, Kosuke; Sakaguchi, A.; Hanamura, Fumiya; Marek, Petr; Filip, Radim; Yoshikawa, Jun–ichi; Furusawa, Akira

doi:10.1103/physrevresearch.3.043026

Cited by 17 publications

(19 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Û (q, y) = P (tan θ(q)) D √ 2q, √ 2y cos θ(q) − √ 2q tan θ(q) (18) where P (k) = exp [ikx 2 /h] is a shear operation, D is a displacement operation and T is an anti-unitary operation, which transforms x → x and p → −p. The anti-unitary operator is derived from the bra of ancillary state.…”

Section: π(Nqm)mentioning

confidence: 99%

“…In continuous-variable MBQC, homodyne measurement is one of the most fundamental and powerful measurement (17). When combined with ancillary states and feedforward, homodyne measurement has an ability to implement fault-tolerant universal quantum computation (18)(19)(20). For example, this combination can implement Clifford operations or Gaussian operations (Fig.…”

mentioning

confidence: 99%

“…1C). It is, however, emphasized that ancillary states and feedforward must be specifically customized for each operations (18). In previous research, only deterministic Gaussian operations on Gaussian and non-Gaussian states have been demonstrated with Gaussian ancillary states and solely linear feedforward (21)(22)(23).…”

mentioning

confidence: 99%

“…The nonlinear feedforward system developed in this work is flexible and capable of implementing various signal processing. Therefore, it is applicable not only to specific non-Gaussian operations, but also to fault-tolerant non-Clifford operations on GKP qubits (18), continuous-variable gate teleportation (19) and analog error correction of GKP qubits (19,20), if appropriate ancillary states are prepared. This work has opened a new nonlinear regime beyond large-scale cluster states and Gaussian operations, establishing an important cornerstone of optical quantum computation.…”

mentioning

confidence: 99%

See 3 more Smart Citations

Nonlinear feedforward enabling quantum computation

Sakaguchi¹,

Konno²,

Hanamura³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

Section: π(Nqm)mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Nonlinear feedforward enabling quantum computation

Sakaguchi¹,

Konno²,

Hanamura³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…On the other hand, non-Clifford operations required non-Gaussian operations [20]. Recently there has been a proposal where GKP non-Clifford operation is efficiently implemented using nonlinear feedforward system and ancillary state [38]. We can use the entanglement structure of the two-sided tree graph to couple the input with the ancillary state here and implement the adaptive homodyne measurement which results in the non-Clifford gate for GKP qubits after the feedforward operations.…”

Section: Universalitymentioning

confidence: 99%

Switching-free time-domain optical quantum computation with quantum teleportation

Asavanant¹,

Fukui²,

Sakaguchi³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

Optical switches and rerouting network are main obstacles to realize optical quantum computer. In particular, both components have been considered as essential components to the measurementbased time-domain optical quantum computation, which has seen promising developments regarding scalability in the recent years. Realizing optical switches and rerouting network with sufficient performance is, however, experimentally challenging as they must have extremely low loss, small switching time, high repetition rate, and minimum optical nonlinearity. In this work, we present an optical quantum computation platform that does not require such optical switches. Our method is based on continuous-variable measurement-based quantum computation, where instead of the typical cluster states, we modify the structure of the quantum entanglements, so that quantum teleportation protocol can be employed instead of the optical switching and rerouting. We also show that when combined with Gottesman-Kitaev-Preskill encoding, our architecture can outperform the architecture with optical switches when the optical losses of the switches are not low.

show abstract

Nonlinear feedforward enabling quantum computation

et al. 2023

Self Cite

View full text Add to dashboard Cite

Measurement-based quantum computation with optical time-domain multiplexing is a promising method to realize a quantum computer from the viewpoint of scalability. Fault tolerance and universality are also realizable by preparing appropriate resource quantum states and electro-optical feedforward that is altered based on measurement results. While linear feedforward has been realized and become a common experimental technique, nonlinear feedforward was unrealized until now. In this paper, we demonstrate that a fast and flexible nonlinear feedforward realizes the essential measurement required for fault-tolerant and universal quantum computation. Using non-Gaussian ancillary states, we observed 10% reduction of the measurement excess noise relative to classical vacuum ancilla.

show abstract

Non-Clifford gate on optical qubits by nonlinear feedforward

Cited by 17 publications

References 38 publications

Nonlinear feedforward enabling quantum computation

Nonlinear feedforward enabling quantum computation

Switching-free time-domain optical quantum computation with quantum teleportation

Nonlinear feedforward enabling quantum computation

Contact Info

Product

Resources

About