Protecting Expressive Circuits with a Quantum Error Detection Code
- URL: http://arxiv.org/abs/2211.06703v1
- Date: Sat, 12 Nov 2022 16:46:35 GMT
- Title: Protecting Expressive Circuits with a Quantum Error Detection Code
- Authors: Chris N. Self, Marcello Benedetti, David Amaro
- Abstract summary: Quantum error correction opens the way for quantum computers to speed up relevant tasks like simulating quantum systems.
We develop the $[k+2k,]]2$ quantum error detection code, for implementations on existing trapped-ion computers.
A high-fidelity -- though non fault-tolerant -- compilation of this universal gate set is possible thanks to the two-qubit physical rotations.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum error correction opens the way for quantum computers to speed up
relevant tasks like simulating quantum systems. However, fully fault-tolerant
quantum error correction is too resource intensive for existing quantum
computers. In this context we develop the $[[k+2,k,2]]$ quantum error detection
code, for implementations on existing trapped-ion computers. Encoding $k$
logical qubits into $k+2$ physical qubits, this code presents fault-tolerant
state initialisation and syndrome measurement circuits that can detect any
single-qubit error. It provides a universal set of local and global logical
rotations that, notably, have physical support on only two qubits. A
high-fidelity -- though non fault-tolerant -- compilation of this universal
gate set is possible thanks to the two-qubit physical rotations present in
trapped-ion computers with all-to-all connectivity. Given the particular
structure of the logical operators, we nickname it the Iceberg code. On the
12-qubit Quantinuum H1-2 hardware we demonstrate the protection of circuits of
8 logical qubits with up to 256 layers, saturate the logical quantum volume of
$2^8$, and show the positive effect of increasing the frequency of syndrome
measurements within the circuit. These results illustrate the practical
usefulness of the Iceberg code to protect expressive circuits on existing
trapped-ion quantum computers.
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