Universal Blind Quantum Computation

@article{Broadbent2009UniversalBQ,
  title={Universal Blind Quantum Computation},
  author={Anne Broadbent and Joseph Fitzsimons and Elham Kashefi},
  journal={2009 50th Annual IEEE Symposium on Foundations of Computer Science},
  year={2009},
  pages={517-526}
}
We present a protocol which allows a client to have a server carry out a quantum computation for her such that the client's inputs, outputs and computation remain perfectly private, and where she does not require any quantum computational power or memory. The client only needs to be able to prepare single qubits randomly chosen from a finite set and send them to the server, who has the balance of the required quantum computational resources. Our protocol is interactive: after the initial… 

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References

SHOWING 1-10 OF 32 REFERENCES

Authentication of quantum messages

A non-interactive scheme that enables A to both encrypt and authenticate an m qubit message by encoding it into m+s qubits, where the error probability decreases exponentially in the security parameter s, and a lower bound of 2m key bits for authenticating m qubits is given, which makes the protocol asymptotically optimal.

Fault-tolerant quantum computation with cluster states

Two threshold theorems are proved which show that scalable fault-tolerant quantum computation may be achieved in implementations based on cluster states, provided the noise in the implementations is below some constant threshold value.

Secure assisted quantum computation

A simple, efficient protocol is described by which Bob can help Alice perform the computation, but there is no way for him to learn anything about it.

An introduction to measurement based quantum computation

In the formalism of measurement based quantum computation we start with a given fixed entangled state of many qubits and perform computation by applying a sequence of measurements to designated

Interactive Proofs For Quantum Computations

Any language in BQP has a QPIP, and moreover, a fault tolerant one, and two proofs are provided: the simpler one uses a new (possibly of independent interest) quantum authentication scheme (QAS) based on random Clifford elements, which is not fault tolerant.

The measurement calculus

A rigorous mathematical model underlying the one-way quantum computer is developed and a concrete syntax and operational semantics for programs, which are called patterns, are presented, and an algebra of these patterns derived from a denotational semantics are presented.

Measurement-based quantum computation on cluster states

We give a detailed account of the one-way quantum computer, a scheme of quantum computation that consists entirely of one-qubit measurements on a particular class of entangled states, the cluster

Unified derivations of measurement-based schemes for quantum computation

We present unified, systematic derivations of schemes in the two known measurement-based models of quantum computation. The first model (introduced by Raussendorf and Briegel, [Phys. Rev. Lett. 86,

Theory of quantum error-correcting codes

A general theory of quantum error correction based on encoding states into larger Hilbert spaces subject to known interactions is developed and necessary and sufficient conditions for the perfect recovery of an encoded state after its degradation by an interaction are obtained.

Private quantum channels

It is shown that in order to transmit n qubits privately, 2n bits of shared private key are necessary and sufficient and may be viewed as the quantum analogue of the classical one-time pad encryption scheme.