39 research outputs found
Optimized Entanglement Purification
We investigate novel protocols for entanglement purification of qubit Bell
pairs. Employing genetic algorithms for the design of the purification circuit,
we obtain shorter circuits achieving higher success rates and better final
fidelities than what is currently available in the literature. We provide a
software tool for analytical and numerical study of the generated purification
circuits, under customizable error models. These new purification protocols
pave the way to practical implementations of modular quantum computers and
quantum repeaters. Our approach is particularly attentive to the effects of
finite resources and imperfect local operations - phenomena neglected in the
usual asymptotic approach to the problem. The choice of the building blocks
permitted in the construction of the circuits is based on a thorough
enumeration of the local Clifford operations that act as permutations on the
basis of Bell states
Faster-than-Clifford Simulations of Entanglement Purification Circuits and Their Full-stack Optimization
Quantum Entanglement is a fundamentally important resource in Quantum
Information Science; however, generating it in practice is plagued by noise and
decoherence, limiting its utility. Entanglement distillation and forward error
correction are the tools we employ to combat this noise, but designing the best
distillation and error correction circuits that function well, especially on
today's imperfect hardware, is still challenging. Here, we develop a simulation
algorithm for distillation circuits with gate-simulation complexity of
steps, providing for drastically faster modeling compared to
Clifford simulators or wavefunction
simulators over qubits.
This new simulator made it possible to not only model but also optimize
practically interesting purification circuits. It enabled us to use a simple
discrete optimization algorithm to design purification circuits from raw
Bell pairs to purified pairs and study the use of these circuits in the
teleportation of logical qubits in second-generation quantum repeaters. The
resulting purification circuits are the best-known purification circuits for
finite-size noisy hardware and can be fine-tuned for specific hardware error
models. Furthermore, we design purification circuits that shape the
correlations of errors in the purified pairs such that the performance of the
error-correcting code used in teleportation or other higher-level protocols is
greatly improved. Our approach of optimizing multiple layers of the networking
stack, both the low-level entanglement purification, and the forward error
correction on top of it, are shown to be indispensable for the design of
high-performance second-generation quantum repeaters