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Dynamically protected cat-qubits: a new paradigm for universal quantum computation
We present a new hardware-efficient paradigm for universal quantum computation which is based on encoding, protecting and manipulating quantum information in a quantum harmonic oscillator. This… Expand
Continuous symmetries and approximate quantum error correction
Quantum error correction and symmetry arise in many areas of physics, including many-body systems, metrology in the presence of noise, fault-tolerant computation, and holographic quantum gravity.… Expand
New class of quantum error-correcting codes for a bosonic mode
We construct a new class of quantum error-correcting codes for bosonic mode which are advantageous for applications in quantum memories, communication, and scalable computation. Expand
Performance and structure of single-mode bosonic codes
The early Gottesman, Kitaev, and Preskill (GKP) proposal for encoding a qubit in an oscillator has recently been followed by cat- and binomial-code proposals. Numerically optimized codes have also… Expand
Symmetries and conserved quantities in Lindblad master equations
This work is concerned with determination of the steady-state structure of time-independent Lindblad master equations, especially those possessing more than one steady state. The approach here is to… Expand
Cavity State Manipulation Using Photon-Number Selective Phase Gates.
- R. Heeres, B. Vlastakis, +5 authors R. Schoelkopf
- Physics, Medicine
- Physical review letters
- 4 March 2015
The large available Hilbert space and high coherence of cavity resonators make these systems an interesting resource for storing encoded quantum bits. To perform a quantum gate on this encoded… Expand
Topological properties of linear circuit lattices.
Motivated by the topologically insulating circuit of capacitors and inductors proposed and tested by Jia et al. [arXiv:1309.0878], we present a related circuit with fewer elements per site. The… Expand
Geometry and Response of Lindbladians
Researchers determine how the steady states of a quantum system with multiple such states depend on the initial properties of the system.
Universal control of an oscillator with dispersive coupling to a qubit
We investigate quantum control of an oscillator mode off-resonantly coupled to an ancillary qubit. In the strong dispersive regime, we may drive the qubit conditioned on the number states of the… Expand
Quantum Capacity Bounds of Gaussian Thermal Loss Channels and Achievable Rates With Gottesman-Kitaev-Preskill Codes
- Kyungjoo Noh, Victor V. Albert, L. Jiang
- Computer Science, Physics
- IEEE Transactions on Information Theory
- 22 January 2018
A family of GKP codes achieves the quantum capacity of Gaussian thermal loss channels up to at most a constant gap from the improved upper bound. Expand