Wigner's Friend paradoxes: consistency with weak-contextual and weak-macroscopic realism models

Wigner's friend paradoxes highlight contradictions between measurements made by Friends inside a laboratory and superobservers outside a laboratory, who have access to an entangled state of the measurement apparatus. The contradictions lead to no-go theorems for observer-independent facts, thus challenging concepts of objectivity. Here, we examine the paradoxes from the perspective of establishing consistency with macroscopic realism. We present versions of the Brukner-Wigner-friend and Frauchiger-Renner paradoxes in which the spin-$1/2$ system measured by the Friends corresponds to two macroscopically distinct states. The local unitary operations $U_{\theta}$ that determine the measurement setting $\theta$ are carried out using nonlinear interactions, thereby ensuring measurements need only distinguish between the macroscopically distinct states. The macroscopic paradoxes are perplexing, seemingly suggesting there is no objectivity in a macroscopic limit. However, we demonstrate consistency with a contextual weak form of macroscopic realism (wMR): The premise wMR asserts that the system can be considered to have a definite spin outcome $\lambda_{\theta}$, at the time after the system has undergone the unitary rotation $U_{\theta}$ to prepare it in a suitable pointer basis. We further show that the paradoxical outcomes imply failure of deterministic macroscopic local realism, and arise when there are unitary interactions $U_{\theta}$ occurring due to a change of measurement setting at both sites, with respect to the state prepared by each Friend. In models which validate wMR, there is a breakdown of a subset of the assumptions that constitute the Bell-Locality premise. A similar interpretation involving a weak contextual form of realism exists for the original paradoxes

Weak versus deterministic macroscopic realism

We construct a mapping of Bell and bipartite Leggett-Garg experiments for microscopic qubits onto a gedanken experiment for macroscopic qubits based on two macroscopically distinct coherent states. This provides an unusual situation where the dichotomic measurements (and associated hidden variables) involved in the Bell tests need only discriminate between two macroscopically distinct states of a system i.e. correspond to coarse-grained measurements that do not specify values to a level of precision of order $\sim\hbar$. Violations of macro-realism and macroscopic local realism are predicted. We show how one may obtain consistency with a weak form of macroscopic realism (wMR): that for a system prepared in a superposition of macroscopically distinct pointer eigenstates, the outcome of the coarse-grained pointer measurement $\hat{M}$ is predetermined. Macroscopic realism does not however hold in a deterministic fashion, where one assumes the predetermination of outcomes prior to the unitary rotations that define the choice of measurement setting in the Bell experiment. We illustrate an analogy with the Einstein-Podolsky-Rosen (EPR) argument, showing how wMR can be regarded as inconsistent with the completeness of quantum mechanics

Anti-digoxin Fab fragments in cardiotoxicity induced by ingestion of yellow oleander: a randomised controlled trial.

BACKGROUND: Severe cardiac glycoside cardiotoxicity after ingestion of yellow oleander seeds is an important problem in rural areas of Sri Lanka. Currently, patients must be transferred to the capital for temporary cardiac pacing. We did a randomised controlled trial to investigate whether anti-digoxin Fab could reverse serious oleander-induced arrhythmias. METHODS: After a preliminary dose-finding study, 66 patients who presented to hospital with a serious cardiac arrhythmia were randomised to receive either 1200 mg of anti-digoxin Fab or a saline placebo. A 12-lead electrocardiogram, 3 min rhythm strip, and blood sample for measurement of electrolytes and cardiac glycosides were taken before treatment and at 12 timepoints thereafter. FINDINGS: 34 patients received anti-digoxin Fab and 32 received placebo. The presenting arrhythmia had resolved completely after 2 h in 15 antibody-treated patients and two controls (p<0.001); 24 and five patients, respectively, were in sinus rhythm at 8 h (p<0.001). Kaplan-Meier analysis of time to first reversal showed a significant response to anti-digoxin Fab. The heart rate increased in cases, from 49.1 per min at baseline to 66.8 at 2 h, but not in controls (50.6 per min at baseline to 51.5; p<0.001). Mean serum potassium concentrations decreased from 4.9 mmol/L to 4.1 mmol/L at 2 h in cases; no such decrease occurred in controls. INTERPRETATION: Anti-digoxin Fab fragments are a safe and effective treatment for serious cardiac arrhythmias induced by yellow oleander. Their use in small rural hospitals in Sri Lanka should minimise costly transfer of patients and reduce the numbers of deaths; however, further study will be required to confirm this reduction