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 …

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 …

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 …

The antisymmetrized geminal power (AGP) is equivalent to the number projected Bardeen–
Cooper–Schrieffer (PBCS) wave function. It is also an elementary symmetric polynomial …

We construct a new family of permutationally invariant codes that correct $ t $ Pauli errors for
any $ t\ge 1$. We also show that codes in the new family correct quantum deletion errors as …

Quantum metrology is a promising practical use case for quantum technologies, where
physical quantities can be measured with unprecedented precision. In lieu of quantum error …

Qudit Dicke states are higher-dimensional analogues of an important class of highly-
entangled completely symmetric quantum states known as (qubit) Dicke states. A circuit for …

Quantum deletions, which are harder to correct than erasure errors, occur in many realistic
settings. It is therefore pertinent to develop quantum coding schemes for quantum deletion …

Symmetric states of collective angular momentum are good candidates for multi-qubit probe
states in quantum sensors because they are easy to prepare and can be controlled without …

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