Realizing Non-Physical Actions through Hermitian-Preserving Map Exponentiation

Understand

Quantum mechanics features a variety of distinct properties such as coherence and entanglement, which could be explored to showcase potential advantages over classical counterparts in information processing.

• In general, legitimate quantum operations must adhere to principles of quantum mechanics, particularly the requirements of complete positivity and trace preservation.
• Nonetheless, non-physical maps, especially Hermitian-preserving maps, play a crucial role in quantum information science.
• To date, there exists no effective method for implementing these non-physical maps with quantum devices.