# Quantum error correction and universal gate set operation on a binomial bosonic logical qubit

@article{Hu2018QuantumEC, title={Quantum error correction and universal gate set operation on a binomial bosonic logical qubit}, author={Le Hu and Y. Ma and Weizhou Cai and Xianghao Mu and Y. B. Xu and W. Wang and Y. F. Wu and H. Wang and Y. P. Song and Chang-Ling Zou and Steven M. Girvin and Luming Duan and L. Sun}, journal={Nature Physics}, year={2018}, volume={15}, pages={503-508} }

Logical qubit encoding and quantum error correction (QEC) protocols have been experimentally demonstrated in various physical systems with multiple physical qubits, generally without reaching the break-even point, at which the lifetime of the quantum information exceeds that of the single best physical qubit within the logical qubit. Logical operations are challenging, owing to the necessary non-local operations at the physical level, making bosonic logical qubits that rely on higher Fock…

## 196 Citations

### Logical-qubit operations in an error-detecting surface code

- PhysicsNature Physics
- 2021

Future fault-tolerant quantum computers will require storing and processing quantum data in logical qubits. Here we realize a suite of logical operations on a distance-2 surface code qubit built from…

### Logical-qubit operations in an error-detecting surface code

- PhysicsNature Physics
- 2021

This work realizes a suite of logical operations on a distance-two logical qubit stabilized using repeated error detection cycles, and demonstrates process tomography of logical gates, using the notion of a logical Pauli transfer matrix.

### Demonstration of Controlled-Phase Gates between Two Error-Correctable Photonic Qubits.

- PhysicsPhysical review letters
- 2020

A geometric method is demonstrated for realizing controlled-phase gates between two logical qubits encoded in photonic fields stored in cavities and using this method to implement a controlled- phase gate between two binomially encoded logical qu bits, which have an error-correctable function.

### Repeated quantum error detection in a surface code

- PhysicsNature Physics
- 2020

The realization of quantum error correction is an essential ingredient for reaching the full potential of fault-tolerant universal quantum computation. Using a range of different schemes, logical…

### Repeated quantum error detection in a surface code

- PhysicsNature Physics
- 2020

In a surface code consisting of four data and three ancilla qubits, repeated error detection is demonstrated and the lifetime and coherence time of the logical qubit are enhanced over those of any of the constituent qubits when no errors are detected.

### Entangling logical qubits with lattice surgery

- PhysicsNature
- 2021

Entanglement between two logical qubits is demonstrated and logical state teleportation between them and the demonstration of these operations—fundamental building blocks for quantum computation—through lattice surgery represents a step towards the efficient realization of fault-tolerant quantum computation.

### Entangling logical qubits with lattice surgery

- PhysicsNature
- 2021

The development of quantum computing architectures from early designs and current noisy devices to fully fledged quantum computers hinges on achieving fault tolerance using quantum error…

### Error-transparent operations on a logical qubit protected by quantum error correction

- PhysicsNature Physics
- 2020

It is verified that the ET gates outperform the non-ET gates with a substantial improvement of the gate fidelity after an occurrence of the single-photon-loss error, paving the way towards fault-tolerant quantum computation.

### Suppressing quantum errors by scaling a surface code logical qubit

- PhysicsNature
- 2023

Practical quantum computing will require error rates well below those achievable with physical qubits. Quantum error correction1,2 offers a path to algorithmically relevant error rates by encoding…

### Quantum error correction of a qubit encoded in grid states of an oscillator

- PhysicsNature
- 2020

This work experimentally prepares square and hexagonal GKP code states through a feedback protocol that incorporates non-destructive measurements that are implemented with a superconducting microwave cavity having the role of the oscillator and demonstrates QEC of an encoded qubit with suppression of all logical errors.

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