Geometric perspective on quantum parameter estimation
Quantum metrology holds the promise of an early practical application of quantum
technologies, in which measurements of physical quantities can be made with much greater …
technologies, in which measurements of physical quantities can be made with much greater …
New class of quantum error-correcting codes for a bosonic mode
We construct a new class of quantum error-correcting codes for a bosonic mode, which are
advantageous for applications in quantum memories, communication, and scalable …
advantageous for applications in quantum memories, communication, and scalable …
Quantum information processing with bosonic qubits in circuit QED
The unique features of quantum theory offer a powerful new paradigm for information
processing. Translating these mathematical abstractions into useful algorithms and …
processing. Translating these mathematical abstractions into useful algorithms and …
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 …
oscillator has recently been followed by cat-and binomial-code proposals. Numerically …
State preparation by shallow circuits using feed forward
Fault tolerant quantum computers repetitively apply a four-step procedure: First, perform a
few one and two-qubit quantum gates. Second, perform a syndrome measurement on a …
few one and two-qubit quantum gates. Second, perform a syndrome measurement on a …
Short-depth circuits for Dicke state preparation
We present short-depth quantum circuits to deterministically prepare any Dicke state
\left|D_k^n\right⟩, which is the equal-amplitude superposition of all n-qubit computational …
\left|D_k^n\right⟩, which is the equal-amplitude superposition of all n-qubit computational …
Quantum Codes from Twisted Unitary -Groups
E Kubischta, I Teixeira - Physical Review Letters, 2024 - APS
We introduce twisted unitary t-groups, a generalization of unitary t-groups under a twisting
by an irreducible representation. We then apply representation theoretic methods to the Knill …
by an irreducible representation. We then apply representation theoretic methods to the Knill …
Tight bounds on the simultaneous estimation of incompatible parameters
The estimation of multiple parameters in quantum metrology is important for a vast array of
applications in quantum information processing. However, the unattainability of fundamental …
applications in quantum information processing. However, the unattainability of fundamental …
A divide-and-conquer approach to Dicke state preparation
We present a divide-and-conquer approach to deterministically prepare Dicke states (ie,
equal-weight superpositions of all-qubit states with Hamming weight) on quantum …
equal-weight superpositions of all-qubit states with Hamming weight) on quantum …
Finding the optimal probe state for multiparameter quantum metrology using conic programming
The ultimate precision in quantum sensing could be achieved using optimal quantum probe
states. However, current quantum sensing protocols do not use probe states optimally …
states. However, current quantum sensing protocols do not use probe states optimally …