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<p>The standard paradigm of ‘weak values’ is outlined, and examples leading to several pathological situations are summarized. A few apparently disturbing features are rationalized via explicit links with eigenvalues and the average values. Specifically, we have found it expedient to choose a complete orthonormal set of post-selected states, and hence a full set of weak values, for discussion in a stationary framework. As an illustrative example, a qubit is chosen to avoid any complex number.</p> Graphical abstract <p>Inflation and deflation of quantum ‘weak’ values, respectively beyond the highest and lowest eigen values of a Hermitian operator, are studied for qubits with fixed post-selected and varying preselected states to enrich our understanding.</p>

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Quantum-mechanical weak values in qubits: Inflation, deflation and average values

  • 期刊论文

  • 发表日期：

    2026年7月22日

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  • Kamal Bhattacharyya

摘要

The standard paradigm of ‘weak values’ is outlined, and examples leading to several pathological situations are summarized. A few apparently disturbing features are rationalized via explicit links with eigenvalues and the average values. Specifically, we have found it expedient to choose a complete orthonormal set of post-selected states, and hence a full set of weak values, for discussion in a stationary framework. As an illustrative example, a qubit is chosen to avoid any complex number.

Graphical abstract

Inflation and deflation of quantum ‘weak’ values, respectively beyond the highest and lowest eigen values of a Hermitian operator, are studied for qubits with fixed post-selected and varying preselected states to enrich our understanding.