A quantum operation where two processes are superposed in different temporal orders, allowing time to flow both forward and backward simultaneously.A quantum switch is an operation in quantum information where two processes are placed in a superposition of different temporal orders, meaning that process A can occur before process B and simultaneously after it. This is a form of 'indefinite causal order,' a concept that goes beyond classical causality and even beyond standard quantum entanglement. It allows time to effectively flow in two directions at once for the quantum system involved, enabling tasks that are impossible with fixed causal structures.
The quantum switch was introduced in 2009 by Giulio Chiribella and collaborators in a theoretical paper on quantum causality. It was first experimentally demonstrated in 2015 using photonic systems.
In a quantum switch, a control qubit is prepared in a superposition of states that determine the order of two operations. If the control is in state |0>, operation A is applied first, then B; if in state |1>, B is applied first, then A. When the control is in a superposition, the two orders coexist, and the overall evolution is not equivalent to any single fixed order. The result is a quantum process that can outperform any circuit with a definite sequence of gates.
Quantum switches are used in quantum communication to improve channel capacities and in quantum metrology to achieve higher precision in parameter estimation than any fixed-order protocol.
A quantum switch can make two completely noiseless channels become noisy when combined in superposition, a counterintuitive effect that has been experimentally verified.










