Continuous-variable quantum computing on encrypted data

Abstract

The ability to perform computations on encrypted data is a powerful tool for protecting a client's privacy, especially in today's era of cloud and distributed computing. In terms of privacy, the best solutions that classical techniques can achieve are unfortunately not unconditionally secure in the sense that they are dependent on a hacker's computational power. Here we theoretically investigate, and experimentally demonstrate with Gaussian displacement and squeezing operations, a quantum solution that achieves the security of a user's privacy using the practical technology of continuous variables. We demonstrate losses of up to 10 km both ways between the client and the server and show that security can still be achieved. Our approach offers a number of practical benefits (from a quantum perspective) that could one day allow the potential widespread adoption of this quantum technology in future cloud-based computing networks.

Client-friendly continuous-variable blind and verifiable quantum computing

“…All of these developments have taken place in the qubit regime. In contrast, blind quantum computing on continuousvariable (CV) hardware is a much less explored territory * Electronic address: nana.liu@quantumlah.org † Electronic address: tommaso@entropicalabs.com [33,34]. To the best of our knowledge there is a single proposal reported [33] that allows the client to hide her input, output and her computation, whereas the scheme in [34] shows only the encryption of the input.…”

Random coding for sharing bosonic quantum secrets

“…The possibility of using almost any interferometer gives plenty of room for optimization and implies that potentially any experimental setup producing multi-mode squeezed states can be used for QSS, paving the way to quantum resource sharing across entangled networks with arbitrary topology. In particular, this may have applications for sharing resource states in server-client architectures for optical quantum computing [58,59], which is an increasingly studied paradigm, due to the difficulty of producing genuinely quantum resources for quantum supremacy [60,61]. From the perspective of error correction [21,62],we can affirm that a Haar randomly chosen linear interferometer acts as an optimal erasure code, since any code tolerating the loss of a higher number of modes would violate no-cloning.…”

Remote Blind State Preparation with Weak Coherent Pulses in the Field

“…Blind quantum computing (BQC) [5][6][7] is an effective method for a common user (namely the Client), who has limited or no quantum computational power, to delegate computation to an untrusted quantum organization (namely the Server), without leaking any information about the user's input and computational task.Various BQC protocols have been proposed in theory [8][9][10][11][12][13]. In addition, several experiments have been reported to demonstrate the feasibility of BQC with photonic qubits [14][15][16][17][18][19]. See Ref.[20] for a review.…”

“…Various BQC protocols have been proposed in theory [8][9][10][11][12][13]. In addition, several experiments have been reported to demonstrate the feasibility of BQC with photonic qubits [14][15][16][17][18][19]. See Ref.…”