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It is a fundamental consequence of the superposition principle for quantum states that there must exist non-orthogonal states, that is states that, although different, have a non-zero overlap. This finite overlap means that there is no way of determining with certainty in which of two such states a given physical system has been prepared. We review the… (More)

- Daniel Gottesman, Thomas Jennewein, Sarah Croke
- Physical review letters
- 2012

We present an approach to building interferometric telescopes using ideas of quantum information. Current optical interferometers have limited baseline lengths, and thus limited resolution, because of noise and loss of signal due to the transmission of photons between the telescopes. The technology of quantum repeaters has the potential to eliminate this… (More)

Submitted to: J. Phys. A: Math. Gen. In quantum communications a transmitting party, Alice, selects from among a set of agreed quantum states to prepare a quantum system for transmission to the receiving party, Bob. Both the set of possible states, {ρ̂i}, and the associated probabilities for selection, {pi} are known to Bob but not, of course, the selected… (More)

- Sarah Croke, Erika Andersson, Stephen M Barnett, Claire R Gilson, John Jeffers
- Physical review letters
- 2006

We consider the problem of discriminating between states of a specified set with maximum confidence. For a set of linearly independent states unambiguous discrimination is possible if we allow for the possibility of an inconclusive result. For linearly dependent sets an analogous measurement is one which allows us to be as confident as possible that when a… (More)

- Sarah Croke, Adrian Kent
- ArXiv
- 2012

We spell out details of a simple argument for a security bound for the secure relativistic quantum bit commitment protocol of Ref. [1]. Introduction Recently, a new quantum relativistic bit commitment protocol [1] was introduced. Its security relies, essentially, on the impossibility of completing a nonlocal measurement on a distributed state outside the… (More)

- Peter J Mosley, Sarah Croke, Ian A Walmsley, Stephen M Barnett
- Physical review letters
- 2006

We present the first experimental demonstration of the maximum confidence measurement strategy for quantum state discrimination. Applying this strategy to an arbitrary set of states assigns to each input state a measurement outcome which, when realized, gives the highest possible confidence that the state was indeed present. The theoretically optimal… (More)

- Robin Blume-Kohout, Sarah Croke, Daniel Gottesman
- IEEE Transactions on Information Theory
- 2014

This paper presents a streaming (sequential) protocol for universal entanglement concentration at the Shannon bound. Alice and Bob begin with N identical (but unknown) two-qubit pure states, each containing E ebits of entanglement. They each run a reversible algorithm on their qubits, and end up with Y perfect EPR pairs, where Y=NE ± O(√(N)).… (More)

- S. M. Croke, D. C. Gabuzda
- 2008

Many important techniques for investigating the properties of extragalactic radio sources, such as spectral-index and rotation-measure mapping, involve the comparison of images at two or more frequencies. In the case of radio interferometric data, this can be done by comparing the CLEAN maps obtained at the different frequencies. However, intrinsic… (More)

Measurement of a quantum system – the process by which an observer gathers information about it – provides a link between the quantum and classical worlds. The nature of this process is the central issue for attempts to reconcile quantum and classical descriptions of physical processes. Here, we show that the conventional paradigm of quantummeasurement is… (More)

Nonlocality without entanglement is a rather counterintuitive phenomenon in which information may be encoded entirely in product (unentangled) states of composite quantum systems in such a way that local measurement of the subsystems is not enough for optimal decoding. For simple examples of pure product states, the gap in performance is known to be rather… (More)