Quantum Energy Teleportation Between Spin Particles in a Gibbs State

Energy in a multipartite quantum system appears from an operational perspective to be distributed to some extent non-locally because of correlations extant among the system's components. This non-locality allows users to transfer, in effect, locally accessible energy between sites of different system components by local operations and classical communication (LOCC). Quantum energy teleportation is a three-step LOCC protocol, accomplished without an external energy carrier, for effectively transferring energy between two physically separated, but correlated, sites. We apply this LOCC teleportation protocol to a model Heisenberg spin particle pair initially in a quantum thermal Gibbs state, making temperature an explicit parameter. We find in this setting that energy teleportation is possible at any temperature, even at temperatures above the threshold where the particles' entanglement vanishes. This shows for Gibbs spin states that entanglement is not fundamentally necessary for energy teleportation; correlation other than entanglement can suffice. Dissonance-quantum correlation in separable states-is in this regard shown to be a quantum resource for energy teleportation, more dissonance being consistently associated with greater energy yield. We compare energy teleportation from particle A to B in Gibbs states with direct local energy extraction by a general quantum operation on B and find a temperature threshold below which energy extraction by a local operation is impossible. This threshold delineates essentially two regimes: a high temperature regime where entanglement vanishes and the teleportation generated by other quantum correlations yields only vanishingly little energy relative to local extraction and a second low-temperature teleportation regime where energy is available at B only by teleportation.

The Lady Footballers and the British Press, 1895

Nettie Honeyball and Florence Dixie founded the British Ladies Football Club (BLFC) in 1894 with the aim to provide football-playing opportunities for girls and young women, but also as a means of making money. Theirs, in effect, was an attempt to create a professional football league for women. Public interest in 'the lady footballers' was enormous, at least in its early stages, and generated considerable attention from the press. Overall, press coverage of the BLFC was negative (football is a man's sport; football is a working-class sport; women are physically incapable of playing the game; women shouldn't appear publicly in bifurcated garments, etc.), with only a few notable exceptions. Did the stance adopted depend on the political leaning of the newspaper? Or were the reporters simply reflecting the social and economic realities of their time, struggling to 'explain' a marginal group - women athletes, or more specifically, middle-class women football players - engaging in a working-class male game? This article examines the press coverage of the BLFC. The double standard evident in the newspaper coverage was, on the surface, as one might expect: if a woman played well, she was a freak, possibly a man in disguise; if she didn't play well, it proved that women shouldn't play football. But on closer examination, the double standard was actually rather nuanced: if she played well and looked the part of a woman, she could be subject to praise; yet if she played well and didn't conform to the standard of feminine beauty, she faced ridicule, and her gender called into question.