6533b7d0fe1ef96bd125b8e2
RESEARCH PRODUCT
Resource Quantification for the No-Programming Theorem
Aleksander M. KubickiDavid Pérez-garcíaDavid Pérez-garcíaCarlos PalazuelosCarlos Palazuelossubject
Statement (computer science)Quantum PhysicsTheoretical computer scienceComputer scienceBanach spaceGeneral Physics and AstronomyFOS: Physical sciencesContext (language use)Mathematical Physics (math-ph)Mathematical proof01 natural sciencesResource (project management)Simple (abstract algebra)0103 physical sciences010306 general physicsQuantum Physics (quant-ph)QuantumMathematical PhysicsQuantum computerdescription
The no-programming theorem prohibits the existence of a Universal Programmable Quantum Processor. This statement has several implications in relation to quantum computation, but also to other tasks of quantum information processing, making this construction a central notion in this context. Nonetheless, it is well known that even when the strict model is not implementable, it is possible to conceive of it in an approximate sense. Unfortunately, the minimal resources necessary for this aim are still not completely understood. Here, we investigate quantitative statements of the theorem, improving exponentially previous bounds on the resources required by such a hypothetical machine. The proofs exploit a new connection between quantum channels and embeddings between Banach spaces which allows us to use classical tools from geometric Banach space theory in a clean and simple way.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-05-02 |