Experimental implementation of encoded logical qubit operations in a perfect quantum error correcting code

Dieter Suter; Jingfu Zhang; Raymond Laflamme

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Experimental implementation of encoded logical qubit operations in a perfect quantum error correcting code

Jingfu Zhang, Raymond Laflamme, Dieter Suter

Quantum Physics · Submitted 23 Aug 2012

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The authors' main claim We perform quantum process tomography of the encoded gate operations, demonstrate the successful correction of all possible single qubit errors and measure the fidelity of the encoded logical gate operations.

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arXiv ID1208.4797 (version 1)

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CitationDieter Suter, Jingfu Zhang, Raymond Laflamme. "Experimental implementation of encoded logical qubit operations in a perfect quantum error correcting code." arXiv:1208.4797 (2012). https://pith.science/paper/VGEVFXSC

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What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.19 · human participants 0.02 · controlled comparison 0.11 · randomized assignment 0.01 · states quantitative result 0.15 · compares with prior results 0.35 · mentions code or data availability 0.03.

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Large-scale universal quantum computing requires the implementation of quantum error correction (QEC). While the implementation of QEC has already been demonstrated for quantum memories, reliable quantum computing requires also the application of nontrivial logical gate operations to the encoded qubits. Here, we present examples of such operations by implementing, in addition to the identity operation, the NOT and the Hadamard gate to a logical qubit encoded in a five qubit system that allows correction of arbitrary single qubit errors. We perform quantum process tomography of the encoded gate operations, demonstrate the successful correction of all possible single qubit errors and measure the fidelity of the encoded logical gate operations.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Large-scale universal quantum computing requires the implementation of quantum error correction (QEC).	background 1.00	0.04	0.04	asserted 1.00
s1	While the implementation of QEC has already been demonstrated for quantum memories, reliable quantum computing requires also the application of nontrivial logical gate operations to the encoded qubits.	gap 0.83	0.05	0.06	asserted 0.99
s2	Here, we present examples of such operations by implementing, in addition to the identity operation, the NOT and the Hadamard gate to a logical qubit encoded in a five qubit system that allows correction of arbitrary single qubit errors.	contribution 0.98	0.97	0.38	asserted 1.00
s3	We perform quantum process tomography of the encoded gate operations, demonstrate the successful correction of all possible single qubit errors and measure the fidelity of the encoded logical gate operations.	method 0.38	0.97	0.34	asserted 1.00

What kind of paper the classifier reports this is: empirical study 1.00 · evidence from observation or experiment 1.00.

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Original abstract

Large-scale universal quantum computing requires the implementation of quantum error correction (QEC). While the implementation of QEC has already been demonstrated for quantum memories, reliable quantum computing requires also the application of nontrivial logical gate operations to the encoded qubits. Here, we present examples of such operations by implementing, in addition to the identity operation, the NOT and the Hadamard gate to a logical qubit encoded in a five qubit system that allows correction of arbitrary single qubit errors. We perform quantum process tomography of the encoded gate operations, demonstrate the successful correction of all possible single qubit errors and measure the fidelity of the encoded logical gate operations.

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3 arXiv papers cite this in 3 sentences

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Cites it as background 1 paper

While there have been demonstrations of quantum error-correcting codes in a number of different experimental systems (e.g., [ref] ), a full fault-tolerant protocol has not yet been demonstrated.

Quantum fault tolerance in small experiments · Introduction · 0.81

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