Fermionic Quantum Information

Fermionic quantum information deals with quantum systems composed of fermions, which are particles that follow Fermi-Dirac statistics. Unlike bosons, fermions obey the Pauli exclusion principle, which restricts the occupancy of quantum states. In the context of quantum information, fermionic systems present unique challenges and opportunities due to their antisymmetric nature, which affects entanglement and quantum computation. Fermionic entanglement involves the non-classical correlations between fermionic particles, allowing for the encoding of quantum information in their entangled states. Matchgates quantum computation is a particular approach to quantum computing that leverages fermionic systems' capabilities. It relies on efficient manipulations of fermionic entangled states using a specific set of elementary operations known as matchgates. These operations form the foundation for performing quantum computations with fermionic systems, and they hold promise for addressing quantum many-body problems and simulating complex quantum systems. Understanding fermionic quantum information and its potential applications is essential for harnessing the power of fermions in quantum technologies.