Transforming quantum operations: Quantum supermaps

By Giulio Chiribella, Giacomo Mauro D'Ariano, Paolo Perinotti. 2008

358 citations recorded by the source corpus.

We introduce the concept of quantum supermap, describing the most general transformation that maps an input quantum operation into an output quantum operation. Since quantum operations include as special cases quantum states, effects, and measurements, quantum supermaps describe all possible transformations between elementary quantum objects (quantum systems as well as quantum devices). After giving the axiomatic definition of supermap, we prove a realization theorem, which shows that any supermap can be physically implemented as a simple quantum circuit. Applications to quantum programming, cloning, discrimination, estimation, information-disturbance trade-off, and tomography of channels are outlined.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/d1015fbc74f28600efee7f72b02998f9fb59e0ff

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Eric Chitambar
2. Gilad Gour
3. Giulio Chiribella
4. Alexia Auffèves
5. Lucien Hardy

In Atomic and Molecular Physics, and Optics

1. Eric Chitambar
2. Gilad Gour
3. Giulio Chiribella
4. Alexia Auffèves
5. Lucien Hardy

Citations in the corpus

• Quantum resource theories (2018, background): “In (Chiribella et al., 2008) it was shown that any superchannel Θ : LAB → LCD can be realized as follows.”
• Indefinite causal order enables perfect quantum communication with zero capacity channels (2018, background): “Mathematically, the quantum SWITCH is a quantum supermap [19, 43, 44], transforming a pair of quantum channels E and F into the new quantum channel S(E ,F).”