76 research outputs found
Quantum computing on encrypted data
The ability to perform computations on encrypted data is a powerful tool for
protecting privacy. Recently, protocols to achieve this on classical computing
systems have been found. Here we present an efficient solution to the quantum
analogue of this problem that enables arbitrary quantum computations to be
carried out on encrypted quantum data. We prove that an untrusted server can
implement a universal set of quantum gates on encrypted quantum bits (qubits)
without learning any information about the inputs, while the client, knowing
the decryption key, can easily decrypt the results of the computation. We
experimentally demonstrate, using single photons and linear optics, the
encryption and decryption scheme on a set of gates sufficient for arbitrary
quantum computations. Because our protocol requires few extra resources
compared to other schemes it can be easily incorporated into the design of
future quantum servers. These results will play a key role in enabling the
development of secure distributed quantum systems
Preparation of pure and mixed polarization qubits and the direct measurement of figures of merit
Non-classical joint measurements can hugely improve the efficiency with which
certain figures of merit of quantum systems are measured. We use such a
measurement to determine a particular figure of merit, the purity, for a
polarization qubit. In the process we highlight some of subtleties involved in
common methods for generating decoherence in quantum optics.Comment: 5 pages, 3 figures, 1 tabl
Single-shot quantum memory advantage in the simulation of stochastic processes
Stochastic processes underlie a vast range of natural and social phenomena.
Some processes such as atomic decay feature intrinsic randomness, whereas other
complex processes, e.g. traffic congestion, are effectively probabilistic
because we cannot track all relevant variables. To simulate a stochastic
system's future behaviour, information about its past must be stored and thus
memory is a key resource. Quantum information processing promises a memory
advantage for stochastic simulation that has been validated in recent
proof-of-concept experiments. Yet, in all past works, the memory saving would
only become accessible in the limit of a large number of parallel simulations,
because the memory registers of individual quantum simulators had the same
dimensionality as their classical counterparts. Here, we report the first
experimental demonstration that a quantum stochastic simulator can encode the
relevant information in fewer dimensions than any classical simulator, thereby
achieving a quantum memory advantage even for an individual simulator. Our
photonic experiment thus establishes the potential of a new, practical resource
saving in the simulation of complex systems
Heralded quantum steering over a high-loss channel
Entanglement is the key resource for many long-range quantum information
tasks, including secure communication and fundamental tests of quantum physics.
These tasks require robust verification of shared entanglement, but performing
it over long distances is presently technologically intractable because the
loss through an optical fiber or free-space channel opens up a detection
loophole. We design and experimentally demonstrate a scheme that verifies
entanglement in the presence of at least dB of added loss,
equivalent to approximately km of telecommunication fiber. Our protocol
relies on entanglement swapping to herald the presence of a photon after the
lossy channel, enabling event-ready implementation of quantum steering. This
result overcomes the key barrier in device-independent communication under
realistic high-loss scenarios and in the realization of a quantum repeater.Comment: 8 pages, 5 figure
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