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Bulletin of the American Physical Society

Quantum Non-Demolition Singleshot Parity Measurements for a Proposed Quantum Error Correction Scheme

Andrei Petrenko, Luyan Sun, Zaki Leghtas, Brian Vlastakis, Gerhard Kirchmair, Katrina Sliwa, A. Narla, Michael Hatridge, Shyam Shankar, Jacob Blumoff, Luigi Frunzio, Mazyar Mirrahimi, Michel Devoret, Robert J. Schoelkopf

Published Mar 3, 2014• 0 citations
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The capability to perform parity-type measurements is a central ingredient of any fault-tolerant quantum computation architecture with protected qubits. We propose schemes to achieve continuous and quantum non-demolition measurements of a class of parity-type observables for the so-called cat-qubits. While opening new perspectives towards fault-tolerant quantum information processing with superconducting circuits, this work also explores a new regime of non-linear interactions provided by a high-impedance Josephson circuit.
By exploiting the fermionic qubit parity measurement, we present a scheme to realize quantum non-demolition (QND) measurement of Bell states and generate n-party GHZ state in quantum dot. Compared with the original protocol, the required electron transfer before and after parity measurement can be nonadiabatic, which may speed up the operation speed and make the omitting of spin-orbit interaction more reasonable. This may help us to construct CNOT gate without highly precise control of coupling as the way of D. Gottesman and I. L. Chuang.
Quantum data are susceptible to decoherence induced by the environment and to errors in the hardware processing it. A future fault-tolerant quantum computer will use quantum error correction to actively protect against both. In the smallest error correction codes, the information in one logical qubit is encoded in a two-dimensional subspace of a larger Hilbert space of multiple physical qubits. For each code, a set of non-demolition multi-qubit measurements, termed stabilizers, can discretize and signal physical qubit errors without collapsing the encoded information. Here using a five-qubit superconducting processor, we realize the two parity measurements comprising the stabilizers of the three-qubit repetition code protecting one logical qubit from physical bit-flip errors. While increased physical qubit coherence times and shorter quantum error correction blocks are required to actively safeguard the quantum information, this demonstration is a critical step towards larger codes based on multiple parity measurements.