Reversible Pebbling Game for Quantum Memory Management
Giulia Meuli1, Mathias Soeken1, Martin Roetteler2, Nikolaj Bjorner2 and Giovanni De Micheli1
1EPFL, Lausanne, Switzerland
2Microsoft, Redmond, WA, USA
ABSTRACT
Quantum memory management is becoming a pressing problem, especially given the recent research effort to develop new and more complex quantum algorithms. The only existing automatic method for quantum states clean-up relies on the availability of many extra resources. In this work, we propose an automatic tool for quantum memory management.We show how this problem exactly matches the reversible pebbling game. Based on that, we develop a SAT-based algorithm that returns a valid clean-up strategy, taking the limitations of the quantum hardware into account. The developed tool empowers the designer with the flexibility required to explore the trade-off between memory resources and number of operations.We present two show-cases to prove the validity of our approach. First, we apply the algorithm to straight-line programs, widely used in cryptographic applications. Second, we perform a comparison with the existing approach, showing an average improvement of 52.77%.
