Kavli Affiliate: Stephanie Wehner

| First 5 Authors: Janice van Dam, Guus Avis, Tzula B Propp, Francisco Ferreira da Silva, Joshua A Slater

| Summary:

In blind quantum computing, a user with a simple client device can perform a

quantum computation on a remote quantum server such that the server cannot gain

knowledge about the computation. Here, we numerically investigate hardware

requirements for verifiable blind quantum computing using an ion trap as server

and a distant measurement-only client. While the client has no direct access to

quantum-computing resources, it can remotely execute quantum programs on the

server by measuring photons emitted by the trapped ion. We introduce a

numerical model for trapped-ion quantum devices in NetSquid, a discrete-event

simulator for quantum networks. Using this, we determine the minimal hardware

requirements on a per-parameter basis to perform the verifiable blind quantum

computing protocol. We benchmark these for a five-qubit linear graph state,

with which any single-qubit rotation can be performed, where client and server

are separated by 50 km. Current state-of-the-art ion traps satisfy the minimal

requirements on a per-parameter basis, but all current imperfections combined

make it impossible to perform the blind computation securely over 50 km using

existing technology. Using a genetic algorithm, we determine the set of

hardware parameters that minimises the total improvements required, finding

directions along which to improve hardware to reach our threshold error

probability that would enable experimental demonstration. In this way, we lay a

path for the near-term experimental progress required to realise the

implementation of verifiable blind quantum computing over a 50 km distance.

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