Skip navigation

상단메뉴

글로벌메뉴

좌측메뉴

학술행사

검색

논문

tab menu

  • View
  • All
  • 수학부
  • 물리학부
  • 계산과학부
  • Center for Advanced Computation

Seminar View

Seminar
TITLE Necessary and sufficient condition for joint measurability
KIAS AUTHORS Baek, Kyunghyun
JOURNAL PHYSICAL REVIEW A, 2019
ARCHIVE  
ABSTRACT To analyze the joint measurability of given measurements, we introduce a Hermitian operator-valued measure, called W measure, such that it has marginals of positive operator-valued measures. We prove that W measure is a positive operator-valued measure (POVM) if and only if its marginal POVMs are jointly measurable. The proof suggests employing a negative W measure as an indicator of nonjoint measurability. This translates the joint measurability problem to unconstrained convex minimization of nondifferentiable function, which is solvable using a subgradient method. By applying triangle inequalities to the negativity, we derive the analytic joint measurability criteria for dichotomic and trichotomic variables. Moreover, we propose an operational test for joint measurability in a sequential measurement scenario.
  • before page
  • list
  • next page
Seminar List

keyword

fiel&date

~