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Introduction to Weak Measurements and Weak Values
Quanta, 2013 We present a short review of the theory of weak measurement. This should serve as a map for the theory and an easy way to get familiar with the main results, problems and paradoxes raised by the theory. Quanta 2013; 2: 7–17.
Boaz Tamir, Eliahu Cohen
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Weak measurements are universal [PDF]
Physical Review Letters, 2005 It is well known that any projective measurement can be decomposed into a sequence of weak measurements, which cause only small changes to the state. Similar constructions for generalized measurements, however, have relied on the use of an ancilla system.
G. Lüders +6 more
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Journal of High Energy Physics, 2023 In this paper, we study a holographic description of weak measurements in conformal field theories (CFTs). Weak measurements can be viewed as a soft projection that interpolates between an identity operator and a projection operator, and can induce an ...
Xinyu Sun, Shao-Kai Jian
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Weak Measurements with Entangled Probes [PDF]
Physical Review A, 2008 Encoding the imaginary part of a weak value onto an initially entangled probe can modify its entanglement content - provided the probe observable can distinguish between states of different entropies.
Korolkova, Natalia, Menzies, David
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Energy measurements remain thermometrically optimal beyond weak coupling [PDF]
Quantum, 2023 We develop a general perturbative theory of finite-coupling quantum thermometry up to second order in probe-sample interaction. By assumption, the probe and sample are in thermal equilibrium, so the probe is described by the mean-force Gibbs state.
Jonas Glatthard +4 more
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Nonclassicality in weak measurements [PDF]
Physical Review A, 2004 We examine weak measurements of arbitrary observables where the object is prepared in a mixed state and on which measurements with imperfect detectors are made. The weak value of an observable can be expressed as a conditional expectation value over an infinite class of different generalized Kirkwood quasi-probability distributions.
Johansen, Lars M., Luis Aina, Alfredo
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Weak Differentiability of Product Measures [PDF]
Mathematics of Operations Research, 2010 In this paper, we study cost functions over a finite collection of random variables. For these types of models, a calculus of differentiation is developed that allows us to obtain a closed-form expression for derivatives where “differentiation” has to be understood in the weak sense.
Bernd Heidergott, Haralambie Leahu
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Weak measurement of Berry’s phase [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 Abstract Quantum measurements can be generalized to include complex quantities. It is possible to relate the quantum weak values of projection operators to the third order Bargmann invariants. The argument of the weak value becomes, up to a sign, equal to the Berry’s phase associated with the three state vectors.
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From Quantum Probabilities to Quantum Amplitudes
Entropy, 2020 The task of reconstructing the system’s state from the measurements results, known as the Pauli problem, usually requires repetition of two successive steps.
Sofia Martínez-Garaot +2 more
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Time-Dependent Hamiltonian Reconstruction Using Continuous Weak Measurements
PRX Quantum, 2023 Reconstructing the Hamiltonian of a quantum system is an essential task for characterizing and certifying quantum processors and simulators. Existing techniques either rely on projective measurements of the system before and after coherent time evolution
Karthik Siva +11 more
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