GENERALIZED JOINT HIGHER-RANK NUMERICAL RANGE

نویسندگان
Bagheri, S. ID 1
Mehrjoofard, M. A. ID 2
Afshin, H. R. ID 3

1 Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

2 Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

3 Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

doi
10.22044/jas.2015.486
چکیده

The rank-k numerical range has a close connection to the construction of quantum error correction code for a noisy quantum channel. For noisy quantum channel, a quantum error correcting code of dimension k exists if and only if the associated joint rank-k numerical range is non-empty. In this paper the notion of joint rank-k numerical range is generalized and some statements of [2011, Generalized numerical ranges and quantum error correction, J. Operator Theory, 66: 2, 335-351.] are extended.

کلیدواژه‌ها
generalized projector, joint higher rank numerical range, joint matrix numerical range, joint matrix higher rank numerical range, generalized joint higher rank numerical range