Displaced fermionic Gaussian states and circuits, which include linear Majorana terms, are shown to be equivalent to matchgate circuits with single-qubit gates on the first line and are efficiently classically simulable.
Magic Resource Can Enhance the Quantum Capacity of Channels
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abstract
We investigate the role of magic resource in the quantum capacity of channels. We consider the quantum channel of the recently proposed discrete beam splitter with the fixed environmental state. We find that if the fixed environmental state is a stabilizer state, then the quantum capacity is zero. Moreover, we find that the quantum capacity is nonzero for some magic states, and the quantum capacity increases linearly with respect to the number of single-qudit magic states in the environment. We also bound the maximal quantum capacity of the discrete beam splitter in terms of the amount of magic resource in the environmental states. These results suggest that magic resource can increase the quantum capacity of channels; it sheds new insight into the role of stabilizer and magic states in quantum communication.
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Displaced Fermionic Gaussian States and their Classical Simulation
Displaced fermionic Gaussian states and circuits, which include linear Majorana terms, are shown to be equivalent to matchgate circuits with single-qubit gates on the first line and are efficiently classically simulable.