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Episode 147 Erasure is fundamental for information processing. It is also key in connecting information theory and thermodynamics, as it is a logically irreversible task. In this talk I will give a new angle on this connection, noting that there may be an additional cost to erasure of quantum information. This is not captured by standard results such as Landauer's principle, which saves the revered second law of thermodynamics from being violated by the “Maxwell’s Demon” thought experiment. To make this point I use a model of irreversibility based on constructor theory—a recently proposed generalization of the quantum theory of computation. The model uses a machine called the 'quantum homogenizer', which has the ability to approximately realise the transformation of a qubit from any state to any other state and remain approximately unchanged, through overall entirely unitary interactions. I will then show how performing erasure via quantum homogenization introduces an additional cost to erasing the memory of a quantum Maxwell's Demon, because it is more difficult to reliably produce pure states in a cycle than to produce maximally mixed states. The results are presented in this paper: https://iopscience.iop.org/article/10.... Maria Violaris is a PhD student researching the foundations of quantum information at the University of Oxford, where she works with Chiara Marletto and Vlatko Vedral. Her research interests include quantum thermodynamics, quantum measurement paradoxes, and the locality of quantum theory. Maria also works part-time with the IBM Quantum community team. She has created a video series to demystify quantum paradoxes using quantum circuits and Qiskit, alongside blogs and code tutorials. She also writes for Physics World magazine, runs quantum initiatives with the Institute of Physics QQQ group, and founded Oxford University Quantum Information Society. See the Paradoxes series on Qiskit YouTube here: • Quantum Paradoxes