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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. ThisExpand
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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
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New class of quantum error-correcting codes for a bosonic mode
TLDR
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
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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 alsoExpand
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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 toExpand
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Cavity State Manipulation Using Photon-Number Selective Phase Gates.
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 encodedExpand
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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. TheExpand
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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.
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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 theExpand
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Quantum Capacity Bounds of Gaussian Thermal Loss Channels and Achievable Rates With Gottesman-Kitaev-Preskill Codes
TLDR
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
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