State Extended Uncertainty Relations
نویسنده
چکیده
A scheme for construction of uncertainty relations (UR) for n observables and m states is presented. Several lowest order UR are displayed and briefly discussed. For two states |ψ〉 and |φ〉 and canonical observables the (entangled) extension of Heisenberg UR reads [∆p(ψ)][∆q(φ)]+[∆p(φ)][∆q(ψ)] ≥ 1/2. Some possible applications of the new inequalities are noted.
منابع مشابه
Remarks on the Extended Characteristic Uncertainty Relations
In the recent papers [1, 2] the conventional uncertainty relation (UR) of Robertson [5] (which includes the Heisenberg and Schrödinger UR [4] as its particular cases) have been extended to all characteristic coefficients of the uncertainty matrix [2] and to the case of several states [1]. In this letter we present three remarks on these extended characteristic URs. The first remark refers to th...
متن کاملTurkish - Iranian Relations: Prospects and Uncertainty
Iran and Turkey are two key regional actors that separately play a role in multiple geographies in terms of both geographical weight and tenets of identity. Geographically speaking, these two countries are simultaneously influential in political-security issues in different areas such as the Fertile Crescent. When it comes to identity, by making a link between their principles and values to reg...
متن کاملTight State-Independent Uncertainty Relations for Qubits
The well-known Robertson–Schrödinger uncertainty relations have state-dependent lower bounds, which are trivial for certain states. We present a general approach to deriving tight state-independent uncertainty relations for qubit measurements that completely characterise the obtainable uncertainty values. This approach can give such relations for any number of observables, and we do so explicit...
متن کاملImprovement of Uncertainty Relations for Mixed States
We study a possible improvement of uncertainty relations. The Heisenberg uncertainty relation employs commutator of a pair of conjugate observables to set the limit of quantum measurement of the observables. The Schrödinger uncertainty relation improves the Heisenberg uncertainty relation by adding the correlation in terms of anti-commutator. However both relations are insensitive whether the s...
متن کاملIntegrated Inspection Planning and Preventive Maintenance for a Markov Deteriorating System Under Scenario-based Demand Uncertainty
In this paper, a single-product, single-machine system under Markovian deterioration of machine condition and demand uncertainty is studied. The objective is to find the optimal intervals for inspection and preventive maintenance activities in a condition-based maintenance planning with discrete monitoring framework. At first, a stochastic dynamic programming model whose state variable is the ...
متن کامل