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We introduce a graphical framework for Bayesian inference that is sufficiently general to accommodate not just the standard case but also recent proposals for a theory of quantum Bayesian inference wherein one considers mixed quantum states rather than probability distributions as representative of degrees of belief. The diagrammatic framework is stated in… (More)

In many different fields of science, it is useful to characterize physical states and processes as resources. Chemistry , thermodynamics, Shannon's theory of communication channels, and the theory of quantum entanglement are prominent examples. Questions addressed by a theory of resources include: Which resources can be converted into which other ones? What… (More)

Received (received date) Revised (revised date) It is well known that no quantum bit commitment protocol is unconditionally secure. Nonetheless, there can be non-trivial upper bounds on both Bob's probability of correctly estimating Alice's commitment and Alice's probability of successfully unveiling whatever bit she desires. In this paper, we seek to… (More)

- Michael D. Mazurek, Matthew F. Pusey, Ravi Kunjwal, Kevin J. Resch, Robert W. Spekkens
- Nature communications
- 2016

To make precise the sense in which nature fails to respect classical physics, one requires a formal notion of classicality. Ideally, such a notion should be defined operationally, so that it can be subject to direct experimental test, and it should be applicable in a wide variety of experimental scenarios so that it can cover the breadth of phenomena… (More)

- Ravi Kunjwal, Robert W Spekkens
- Physical review letters
- 2015

The Kochen-Specker theorem demonstrates that it is not possible to reproduce the predictions of quantum theory in terms of a hidden variable model where the hidden variables assign a value to every projector deterministically and noncontextually. A noncontextual value assignment to a projector is one that does not depend on which other projectors-the… (More)

The problem of using observed correlations to infer causal relations is relevant to a wide variety of scientific disciplines. Yet given correlations between just two classical variables, it is impossible to determine whether they arose from a causal influence of one on the other or a common cause influencing both, unless one can implement a randomized… (More)

- Robert W Spekkens, References, Christopher J Wood, Katja Ried, Megan Agnew, Lydia Vermeyden +2 others
- 2014

The framework of causal models is ideally suited to formalizing certain conceptual problems in quantum theory , and conversely, a variety of tools developed by physicists studying the foundations of quantum theory have applications for causal inference. This talk reviews some of the connections between the two fields. In particular , it is shown that… (More)

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