A Note on Quantum Entanglement and PPT
نویسندگان
چکیده
We study quantum states for which the PPT criterion is both sufficient and necessary for separability. We present a class of 3 × 3 bipartite mixed states and show that these states are separable if and only if they are PPT.
منابع مشابه
Canonical Form and Separability of PPT States on Multiple Quantum Spaces
By using the “subtracting projectors” method in proving the separability of PPT states on multiple quantum spaces, we derive a canonical form of PPT states in C1 ⊗CK2 ⊗· · ·⊗CKm ⊗CN composite quantum systems with rank N , from which a sufficient separability condition for these states is presented. As the key resource in quantum information processing [1], quantum entanglement has resulted in t...
متن کاملAmortized entanglement of a quantum channel and approximately teleportation-simulable channels
This paper defines the amortized entanglement of a quantum channel as the largest difference in entanglement between the output and the input of the channel, where entanglement is quantified by an arbitrary entanglement measure. We prove that the amortized entanglement of a channel obeys several desirable properties, and we also consider special cases such as the amortized relative entropy of e...
متن کاملOn tests of entanglement: States of rank 2, partial transposition and generalized concurrences
We consider the positive partial transposition test (PPT) and the generalized concurrence test for the entanglement of bipartite quantum systems in the simplest case not previously studied in the literature. This is the case of 2 × 4 states of rank 2. We prove that the PPT test gives a necessary and sufficient condition of separability and identify a set of entangled states not detected using g...
متن کاملدرهمتنیدگی کوانتومی و گذار فاز کوانتومی تحت اتلاف در مدل ناهمسانگرد هایزنبرگ XXZ با برهمکنش ژیالوسینکی - موریا
Because the key issue in quantum information and quantum computing is entanglement, the investigation of the effects of environment, as a source of quantum dissipation, and interaction between environment and system on entanglement and quantum phase transition is important. In this paper, we consider two-qubit system in the anisotropic Heisenberg XXZ model with the Dzyaloshinskii-moriya inter...
متن کاملVoltage-Controlled Entanglement between Quantum- Dot Molecule and its Spontaneous Emission Fields via Quantum Entropy
The time evolution of the quantum entropy in a coherently driven threelevel quantum dot (QD) molecule is investigated. The entanglement of quantum dot molecule and its spontaneous emission field is coherently controlled by the gat voltage and the intensity of applied field. It is shown that the degree of entanglement between a three-level quantum dot molecule and its spontaneous emission fields...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008