A New Problem for Quantum Mechanics

British Journal for the Philosophy of Science 73 (3):631-661 (2022)
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Abstract

In this article I raise a new problem for quantum mechanics, which I call the control problem. Like the measurement problem, the control problem places a fundamental constraint on quantum theories. The characteristic feature of the problem is its focus on state preparation. In particular, whereas the measurement problem turns on a premise about the completeness of the quantum state (‘no hidden variables’), the control problem turns on a premise about our ability to prepare or control quantum states. After raising the problem, I discuss some applications. I suggest that it provides a useful new lens through which to view existing theories or interpretations, in part because it draws attention to aspects of those theories that the measurement problem does not (such as the role of conditional and relative states). I suggest that it also helps clarify the physical significance of the well-known no-go result—the no-cloning theorem—on which it is based.

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Alexander Meehan
Yale University

Citations of this work

There is No New Problem for Quantum Mechanics.Lev Vaidman - 2020 - Foundations of Physics 50 (11):1728-1734.

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References found in this work

Relational quantum mechanics.Carlo Rovelli - 1996 - International Journal of Theoretical Physics 35 (8):1637--1678.
Three measurement problems.Tim Maudlin - 1995 - Topoi 14 (1):7-15.

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